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146041056 = 253572683
BaseRepresentation
bin10001011010001…
…10100011100000
3101011210122200000
420231012203200
5244341303211
622254100000
73422220450
oct1055064340
9334718600
10146041056
1175488897
1240aaa600
1324343c35
1415577d60
15cc4b656
hex8b468e0

146041056 has 144 divisors (see below), whose sum is σ = 492395904. Its totient is φ = 41710464.

The previous prime is 146041043. The next prime is 146041069. The reversal of 146041056 is 650140641.

146041056 is a `hidden beast` number, since 1 + 4 + 604 + 1 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (146041043) and next prime (146041069).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53091 + ... + 55773.

It is an arithmetic number, because the mean of its divisors is an integer number (3419416).

Almost surely, 2146041056 is an apocalyptic number.

146041056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146041056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246197952).

146041056 is an abundant number, since it is smaller than the sum of its proper divisors (346354848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146041056 is an equidigital number, since it uses as much as digits as its factorization.

146041056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146041056 is about 12084.7447635438. The cubic root of 146041056 is about 526.6130957279.

Adding to 146041056 its reverse (650140641), we get a palindrome (796181697).

The spelling of 146041056 in words is "one hundred forty-six million, forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 2683 3024 3402 3888 4536 5366 6048 6804 7776 8049 9072 10732 13608 16098 18144 18781 21464 24147 27216 32196 37562 42928 48294 54432 56343 64392 72441 75124 85856 96588 112686 128784 144882 150248 169029 193176 217323 225372 257568 289764 300496 338058 386352 434646 450744 507087 579528 600992 651969 676116 772704 869292 901488 1014174 1159056 1303938 1352232 1521261 1738584 1802976 2028348 2318112 2607876 2704464 3042522 3477168 4056696 4563783 5215752 5408928 6085044 6954336 8113392 9127566 10431504 12170088 16226784 18255132 20863008 24340176 36510264 48680352 73020528 146041056