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155023920 = 243251391549
BaseRepresentation
bin10010011110101…
…11101000110000
3101210201000211200
421033113220300
5304141231140
623214411200
73561452532
oct1117275060
9353630750
10155023920
117a563847
1243b00b00
132616a83c
1416835852
15d923030
hex93d7a30

155023920 has 120 divisors (see below), whose sum is σ = 524706000. Its totient is φ = 41015808.

The previous prime is 155023903. The next prime is 155023943. The reversal of 155023920 is 29320551.

155023920 is a `hidden beast` number, since 1 + 550 + 23 + 92 + 0 = 666.

155023920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99306 + ... + 100854.

It is an arithmetic number, because the mean of its divisors is an integer number (4372550).

Almost surely, 2155023920 is an apocalyptic number.

155023920 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 155023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262353000).

155023920 is an abundant number, since it is smaller than the sum of its proper divisors (369682080).

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

155023920 is a wasteful number, since it uses less digits than its factorization.

155023920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 155023920 is about 12450.8602112465. The cubic root of 155023920 is about 537.1961664847.

The spelling of 155023920 in words is "one hundred fifty-five million, twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 139 144 180 240 278 360 417 556 695 720 834 1112 1251 1390 1549 1668 2085 2224 2502 2780 3098 3336 4170 4647 5004 5560 6196 6255 6672 7745 8340 9294 10008 11120 12392 12510 13941 15490 16680 18588 20016 23235 24784 25020 27882 30980 33360 37176 46470 50040 55764 61960 69705 74352 92940 100080 111528 123920 139410 185880 215311 223056 278820 371760 430622 557640 645933 861244 1076555 1115280 1291866 1722488 1937799 2153110 2583732 3229665 3444976 3875598 4306220 5167464 6459330 7751196 8612440 9688995 10334928 12918660 15502392 17224880 19377990 25837320 31004784 38755980 51674640 77511960 155023920