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155072440 = 23523732309
BaseRepresentation
bin10010011111000…
…11011110111000
3101210210111101201
421033203132320
5304144304230
623215423544
73562044145
oct1117433670
9353714351
10155072440
117a597246
1243b24bb4
1326186953
14168493cc
15d9325ca
hex93e37b8

155072440 has 64 divisors (see below), whose sum is σ = 369230400. Its totient is φ = 58493952.

The previous prime is 155072413. The next prime is 155072501. The reversal of 155072440 is 44270551.

It is a junction number, because it is equal to n+sod(n) for n = 155072399 and 155072408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66006 + ... + 68314.

It is an arithmetic number, because the mean of its divisors is an integer number (5769225).

Almost surely, 2155072440 is an apocalyptic number.

155072440 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 155072440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184615200).

155072440 is an abundant number, since it is smaller than the sum of its proper divisors (214157960).

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

155072440 is a wasteful number, since it uses less digits than its factorization.

155072440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 155072440 is about 12452.8085185632. The cubic root of 155072440 is about 537.2522052328.

The spelling of 155072440 in words is "one hundred fifty-five million, seventy-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 73 92 115 146 184 230 292 365 460 584 730 920 1460 1679 2309 2920 3358 4618 6716 8395 9236 11545 13432 16790 18472 23090 33580 46180 53107 67160 92360 106214 168557 212428 265535 337114 424856 531070 674228 842785 1062140 1348456 1685570 2124280 3371140 3876811 6742280 7753622 15507244 19384055 31014488 38768110 77536220 155072440