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155920080 = 243519311103
BaseRepresentation
bin10010100101100…
…10011011010000
3101212101120010210
421102302123100
5304403420310
623245524120
73602204331
oct1122623320
9355346123
10155920080
1180016078
1244273640
13263c2704
14169ca288
15da4d820
hex94b26d0

155920080 has 160 divisors (see below), whose sum is σ = 525680640. Its totient is φ = 38085120.

The previous prime is 155920057. The next prime is 155920091. The reversal of 155920080 is 80029551.

It is a super-2 number, since 2×1559200802 = 48622142694412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 140809 + ... + 141911.

It is an arithmetic number, because the mean of its divisors is an integer number (3285504).

Almost surely, 2155920080 is an apocalyptic number.

155920080 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 155920080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262840320).

155920080 is an abundant number, since it is smaller than the sum of its proper divisors (369760560).

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

155920080 is a wasteful number, since it uses less digits than its factorization.

155920080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 155920080 is about 12486.7962264145. The cubic root of 155920080 is about 538.2293167980.

The spelling of 155920080 in words is "one hundred fifty-five million, nine hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 38 40 48 57 60 62 76 80 93 95 114 120 124 152 155 186 190 228 240 248 285 304 310 372 380 456 465 496 570 589 620 744 760 912 930 1103 1140 1178 1240 1488 1520 1767 1860 2206 2280 2356 2480 2945 3309 3534 3720 4412 4560 4712 5515 5890 6618 7068 7440 8824 8835 9424 11030 11780 13236 14136 16545 17648 17670 20957 22060 23560 26472 28272 33090 34193 35340 41914 44120 47120 52944 62871 66180 68386 70680 83828 88240 102579 104785 125742 132360 136772 141360 167656 170965 205158 209570 251484 264720 273544 314355 335312 341930 410316 419140 502968 512895 547088 628710 649667 683860 820632 838280 1005936 1025790 1257420 1299334 1367720 1641264 1676560 1949001 2051580 2514840 2598668 2735440 3248335 3898002 4103160 5029680 5197336 6496670 7796004 8206320 9745005 10394672 12993340 15592008 19490010 25986680 31184016 38980020 51973360 77960040 155920080