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155374020 = 2232519181251
BaseRepresentation
bin10010100001011…
…01000111000100
3101211100211002100
421100231013010
5304233432040
623230112100
73564441324
oct1120550704
9354324070
10155374020
117a78288a
124404b630
1326260cb9
14168c7284
15d991b30
hex942d1c4

155374020 has 144 divisors (see below), whose sum is σ = 500834880. Its totient is φ = 38880000.

The previous prime is 155374019. The next prime is 155374031. The reversal of 155374020 is 20473551.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618895 + ... + 619145.

It is an arithmetic number, because the mean of its divisors is an integer number (3478020).

Almost surely, 2155374020 is an apocalyptic number.

155374020 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 155374020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250417440).

155374020 is an abundant number, since it is smaller than the sum of its proper divisors (345460860).

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

155374020 is a wasteful number, since it uses less digits than its factorization.

155374020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 155374020 is about 12464.9115520328. The cubic root of 155374020 is about 537.6002567627.

The spelling of 155374020 in words is "one hundred fifty-five million, three hundred seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 181 190 228 251 285 342 362 380 502 543 570 684 724 753 855 905 1004 1086 1140 1255 1506 1629 1710 1810 2172 2259 2510 2715 3012 3258 3420 3439 3620 3765 4518 4769 5020 5430 6516 6878 7530 8145 9036 9538 10317 10860 11295 13756 14307 15060 16290 17195 19076 20634 22590 23845 28614 30951 32580 34390 41268 42921 45180 45431 47690 51585 57228 61902 68780 71535 85842 90862 95380 103170 123804 136293 143070 154755 171684 181724 206340 214605 227155 272586 286140 309510 408879 429210 454310 545172 619020 681465 817758 858420 863189 908620 1362930 1635516 1726378 2044395 2589567 2725860 3452756 4088790 4315945 5179134 7768701 8177580 8631890 10358268 12947835 15537402 17263780 25895670 31074804 38843505 51791340 77687010 155374020