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146025040 = 24571072437
BaseRepresentation
bin10001011010000…
…10101001010000
3101011202211200211
420231002221100
5244340300130
622253453504
73422122660
oct1055025120
9334684624
10146025040
1175477857
1240aa1294
1324339865
14155721a0
15cc46a2a
hex8b42a50

146025040 has 80 divisors (see below), whose sum is σ = 391796352. Its totient is φ = 49577472.

The previous prime is 146025037. The next prime is 146025043. The reversal of 146025040 is 40520641.

It is an interprime number because it is at equal distance from previous prime (146025037) and next prime (146025043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146025043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58702 + ... + 61138.

Almost surely, 2146025040 is an apocalyptic number.

146025040 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 146025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195898176).

146025040 is an abundant number, since it is smaller than the sum of its proper divisors (245771312).

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

146025040 is a wasteful number, since it uses less digits than its factorization.

146025040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 146025040 is about 12084.0820917437. The cubic root of 146025040 is about 526.5938441925.

Adding to 146025040 its reverse (40520641), we get a palindrome (186545681).

The spelling of 146025040 in words is "one hundred forty-six million, twenty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 535 560 749 856 1070 1498 1712 2140 2437 2996 3745 4280 4874 5992 7490 8560 9748 11984 12185 14980 17059 19496 24370 29960 34118 38992 48740 59920 68236 85295 97480 136472 170590 194960 260759 272944 341180 521518 682360 1043036 1303795 1364720 1825313 2086072 2607590 3650626 4172144 5215180 7301252 9126565 10430360 14602504 18253130 20860720 29205008 36506260 73012520 146025040