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145396432 = 2423675897
BaseRepresentation
bin10001010101010…
…01001011010000
3101010120220102001
420222221023100
5244210141212
622232203344
73413564206
oct1052511320
9333526361
10145396432
1175088545
1240839554
13241796bc
141544b076
15cb70657
hex8aa92d0

145396432 has 40 divisors (see below), whose sum is σ = 298391616. Its totient is φ = 68487936.

The previous prime is 145396423. The next prime is 145396457. The reversal of 145396432 is 234693541.

It is a super-2 number, since 2×1453964322 = 42280244876661248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145396391 and 145396400.

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 7 ways as a sum of consecutive naturals, for example, 21708 + ... + 27604.

Almost surely, 2145396432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145396432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149195808).

145396432 is an abundant number, since it is smaller than the sum of its proper divisors (152995184).

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

145396432 is a wasteful number, since it uses less digits than its factorization.

145396432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995 (or 5989 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 145396432 is about 12058.0442858699. The cubic root of 145396432 is about 525.8371309712.

The spelling of 145396432 in words is "one hundred forty-five million, three hundred ninety-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 67 92 134 184 268 368 536 1072 1541 3082 5897 6164 11794 12328 23588 24656 47176 94352 135631 271262 395099 542524 790198 1085048 1580396 2170096 3160792 6321584 9087277 18174554 36349108 72698216 145396432