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145983156 = 223111958207
BaseRepresentation
bin10001011001110…
…00011010110100
3101011200201020120
420230320122310
5244332430111
622252531540
73421556604
oct1054703264
9334621216
10145983156
1175449340
1240a80bb0
1324323787
1415560c04
15cc39406
hex8b386b4

145983156 has 48 divisors (see below), whose sum is σ = 391157760. Its totient is φ = 41908320.

The previous prime is 145983127. The next prime is 145983179. The reversal of 145983156 is 651389541.

It is a super-3 number, since 3×1459831563 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26596 + ... + 31611.

It is an arithmetic number, because the mean of its divisors is an integer number (8149120).

Almost surely, 2145983156 is an apocalyptic number.

It is an amenable number.

145983156 is an abundant number, since it is smaller than the sum of its proper divisors (245174604).

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

145983156 is a wasteful number, since it uses less digits than its factorization.

145983156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58244 (or 58242 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 145983156 is about 12082.3489438106. The cubic root of 145983156 is about 526.5434921761.

The spelling of 145983156 in words is "one hundred forty-five million, nine hundred eighty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 58207 116414 174621 232828 349242 640277 698484 1105933 1280554 1920831 2211866 2561108 3317799 3841662 4423732 6635598 7683324 12165263 13271196 24330526 36495789 48661052 72991578 145983156