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155064420 = 223257217581
BaseRepresentation
bin10010011111000…
…01100001100100
3101210210002101200
421033201201210
5304144030140
623215322500
73562011600
oct1117414144
9353702350
10155064420
117a591215
1243b20430
13261830c4
1416846500
15d930030
hex93e1864

155064420 has 108 divisors (see below), whose sum is σ = 547187004. Its totient is φ = 35441280.

The previous prime is 155064401. The next prime is 155064431. The reversal of 155064420 is 24460551.

155064420 is a `hidden beast` number, since 15 + 5 + 0 + 644 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 107619876 = 6888^2 + 10374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30 + ... + 17610.

Almost surely, 2155064420 is an apocalyptic number.

155064420 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 155064420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273593502).

155064420 is an abundant number, since it is smaller than the sum of its proper divisors (392122584).

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

155064420 is a wasteful number, since it uses less digits than its factorization.

155064420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17610 (or 17598 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 155064420 is about 12452.4864986877. The cubic root of 155064420 is about 537.2429432453.

The spelling of 155064420 in words is "one hundred fifty-five million, sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 17581 35162 52743 70324 87905 105486 123067 158229 175810 210972 246134 263715 316458 351620 369201 492268 527430 615335 632916 738402 791145 861469 1054860 1107603 1230670 1476804 1582290 1722938 1846005 2215206 2461340 2584407 3164580 3445876 3692010 4307345 4430412 5168814 5538015 7384020 7753221 8614690 10337628 11076030 12922035 15506442 17229380 22152060 25844070 31012884 38766105 51688140 77532210 155064420