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145691260 = 22511313421
BaseRepresentation
bin10001010111100…
…01001001111100
3101011010212211121
420223301021330
5244244110020
622242400324
73416232601
oct1053611174
9334125747
10145691260
117526a000
12409600a4
1324250960
14154c66a8
15cbccbaa
hex8af127c

145691260 has 96 divisors (see below), whose sum is σ = 363271104. Its totient is φ = 48787200.

The previous prime is 145691251. The next prime is 145691279. The reversal of 145691260 is 62196541.

145691260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345850 + ... + 346270.

It is an arithmetic number, because the mean of its divisors is an integer number (3784074).

Almost surely, 2145691260 is an apocalyptic number.

145691260 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 145691260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181635552).

145691260 is an abundant number, since it is smaller than the sum of its proper divisors (217579844).

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

145691260 is a wasteful number, since it uses less digits than its factorization.

145691260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 145691260 is about 12070.2634602564. The cubic root of 145691260 is about 526.1923135501.

The spelling of 145691260 in words is "one hundred forty-five million, six hundred ninety-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 421 484 572 605 715 842 1210 1331 1430 1573 1684 2105 2420 2662 2860 3146 4210 4631 5324 5473 6292 6655 7865 8420 9262 10946 13310 15730 17303 18524 21892 23155 26620 27365 31460 34606 46310 50941 54730 60203 69212 86515 92620 101882 109460 120406 173030 203764 240812 254705 301015 346060 509410 560351 602030 662233 1018820 1120702 1204060 1324466 2241404 2648932 2801755 3311165 5603510 6622330 7284563 11207020 13244660 14569126 29138252 36422815 72845630 145691260