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154042920 = 23325449953
BaseRepresentation
bin10010010111010…
…00001000101000
3101201212012011100
421023220020220
5303413333140
623141401400
73550225503
oct1113501050
9351765140
10154042920
1179a537a9
1243709260
1325bb6175
141665c13a
15d7cc530
hex92e8228

154042920 has 96 divisors (see below), whose sum is σ = 502281000. Its totient is φ = 40943616.

The previous prime is 154042919. The next prime is 154042927. The reversal of 154042920 is 29240451.

It can be written as a sum of positive squares in 4 ways, for example, as 124947684 + 29095236 = 11178^2 + 5394^2 .

It is not an unprimeable number, because it can be changed into a prime (154042927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161164 + ... + 162116.

Almost surely, 2154042920 is an apocalyptic number.

154042920 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 154042920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251140500).

154042920 is an abundant number, since it is smaller than the sum of its proper divisors (348238080).

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

154042920 is a wasteful number, since it uses less digits than its factorization.

154042920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 154042920 is about 12411.4028215992. The cubic root of 154042920 is about 536.0606321104.

The spelling of 154042920 in words is "one hundred fifty-four million, forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 449 898 953 1347 1796 1906 2245 2694 2859 3592 3812 4041 4490 4765 5388 5718 6735 7624 8082 8577 8980 9530 10776 11436 13470 14295 16164 17154 17960 19060 20205 22872 26940 28590 32328 34308 38120 40410 42885 53880 57180 68616 80820 85770 114360 161640 171540 343080 427897 855794 1283691 1711588 2139485 2567382 3423176 3851073 4278970 5134764 6418455 7702146 8557940 10269528 12836910 15404292 17115880 19255365 25673820 30808584 38510730 51347640 77021460 154042920