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145714660 = 22571323592
BaseRepresentation
bin10001010111101…
…10110111100100
3101011012001221021
420223312313210
5244300332120
622243100524
73416361040
oct1053666744
9334161837
10145714660
1175285643
1240971744
132425b4c0
14154d1020
15cbd4aaa
hex8af6de4

145714660 has 144 divisors (see below), whose sum is σ = 399764736. Its totient is φ = 43363584.

The previous prime is 145714609. The next prime is 145714687. The reversal of 145714660 is 66417541.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2469711 + ... + 2469769.

It is an arithmetic number, because the mean of its divisors is an integer number (2776144).

Almost surely, 2145714660 is an apocalyptic number.

145714660 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 145714660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199882368).

145714660 is an abundant number, since it is smaller than the sum of its proper divisors (254050076).

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

145714660 is a wasteful number, since it uses less digits than its factorization.

145714660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 145714660 is about 12071.2327456644. The cubic root of 145714660 is about 526.2204832586.

The spelling of 145714660 in words is "one hundred forty-five million, seven hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 59 65 70 91 92 115 118 130 140 161 182 230 236 260 295 299 322 364 413 455 460 590 598 644 767 805 826 910 1180 1196 1357 1495 1534 1610 1652 1820 2065 2093 2714 2990 3068 3220 3481 3835 4130 4186 5369 5428 5980 6785 6962 7670 8260 8372 9499 10465 10738 13570 13924 15340 17405 17641 18998 20930 21476 24367 26845 27140 34810 35282 37996 41860 45253 47495 48734 53690 69620 70564 80063 88205 90506 94990 97468 107380 121835 123487 160126 176410 181012 189980 226265 243670 246974 316771 320252 352820 400315 452530 487340 493948 560441 617435 633542 800630 905060 1040819 1120882 1234870 1267084 1583855 1601260 2081638 2241764 2469740 2802205 3167710 4163276 5204095 5604410 6335420 7285733 10408190 11208820 14571466 20816380 29142932 36428665 72857330 145714660