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146023040 = 2751511511
BaseRepresentation
bin10001011010000…
…10001010000000
3101011202201221202
420231002022000
5244340214130
622253440332
73422114102
oct1055021200
9334681852
10146023040
11754762a9
1240aa00a8
1324338987
1415571572
15cc46145
hex8b42280

146023040 has 64 divisors (see below), whose sum is σ = 351630720. Its totient is φ = 57984000.

The previous prime is 146023027. The next prime is 146023057. The reversal of 146023040 is 40320641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95885 + ... + 97395.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2146023040 is an apocalyptic number.

146023040 is a gapful number since it is divisible by the number (10) 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 146023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

146023040 is an abundant number, since it is smaller than the sum of its proper divisors (205607680).

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

146023040 is a wasteful number, since it uses less digits than its factorization.

146023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 146023040 is about 12083.9993379675. Note that the first 3 decimals coincide. The cubic root of 146023040 is about 526.5914400558.

Adding to 146023040 its reverse (40320641), we get a palindrome (186343681).

The spelling of 146023040 in words is "one hundred forty-six million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 151 160 302 320 604 640 755 1208 1510 1511 2416 3020 3022 4832 6040 6044 7555 9664 12080 12088 15110 19328 24160 24176 30220 48320 48352 60440 96640 96704 120880 193408 228161 241760 456322 483520 912644 967040 1140805 1825288 2281610 3650576 4563220 7301152 9126440 14602304 18252880 29204608 36505760 73011520 146023040