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155190420 = 2232571111197
BaseRepresentation
bin10010100000000…
…00010010010100
3101211000111020100
421100000102110
5304212043140
623222134100
73563045130
oct1120002224
9354014210
10155190420
117a667950
1243b81330
13261c8568
141687a3c0
15d957530
hex9400494

155190420 has 144 divisors (see below), whose sum is σ = 586954368. Its totient is φ = 32244480.

The previous prime is 155190419. The next prime is 155190443. The reversal of 155190420 is 24091551.

155190420 is a `hidden beast` number, since 1 + 55 + 190 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8262 + ... + 19458.

It is an arithmetic number, because the mean of its divisors is an integer number (4076072).

Almost surely, 2155190420 is an apocalyptic number.

155190420 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 155190420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293477184).

155190420 is an abundant number, since it is smaller than the sum of its proper divisors (431763948).

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

155190420 is a wasteful number, since it uses less digits than its factorization.

155190420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230 (or 11225 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 155190420 is about 12457.5447019066. The cubic root of 155190420 is about 537.3884188789.

The spelling of 155190420 in words is "one hundred fifty-five million, one hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 11197 13860 22394 33591 44788 55985 67182 78379 100773 111970 123167 134364 156758 167955 201546 223940 235137 246334 313516 335910 369501 391895 403092 470274 492668 503865 615835 671820 705411 739002 783790 862169 940548 1007730 1108503 1175685 1231670 1410822 1478004 1567580 1724338 1847505 2015460 2217006 2351370 2463340 2586507 2821644 3448676 3527055 3695010 4310845 4434012 4702740 5173014 5542515 7054110 7390020 7759521 8621690 10346028 11085030 12932535 14108220 15519042 17243380 22170060 25865070 31038084 38797605 51730140 77595210 155190420