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145930896 = 2434112601
BaseRepresentation
bin10001011001010…
…11101010010000
3101011121001120000
420230223222100
5244324242041
622251450000
73421251336
oct1054535220
9334531500
10145930896
1175413051
1240a56900
1324305a57
1415549b56
15cc28bb6
hex8b2ba90

145930896 has 50 divisors (see below), whose sum is σ = 422370102. Its totient is φ = 48643200.

The previous prime is 145930867. The next prime is 145930901. The reversal of 145930896 is 698039541.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 13220496 = 11520^2 + 3636^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 55005 + ... + 57596.

Almost surely, 2145930896 is an apocalyptic number.

145930896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145930896 is an abundant number, since it is smaller than the sum of its proper divisors (276439206).

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

145930896 is a wasteful number, since it uses less digits than its factorization.

145930896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112621 (or 112606 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 145930896 is about 12080.1860912819. The cubic root of 145930896 is about 526.4806528552.

The spelling of 145930896 in words is "one hundred forty-five million, nine hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 112601 225202 337803 450404 675606 900808 1013409 1351212 1801616 2026818 2702424 3040227 4053636 5404848 6080454 8107272 9120681 12160908 16214544 18241362 24321816 36482724 48643632 72965448 145930896