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151154040 = 23358914153
BaseRepresentation
bin10010000001001…
…10110101111000
3101112102102100210
421000212311320
5302143412130
622555431120
73513534222
oct1100466570
9345372323
10151154040
11783602a4
12427554a0
132541427b
1416109412
15d40b5b0
hex9026d78

151154040 has 64 divisors (see below), whose sum is σ = 458589600. Its totient is φ = 39852032.

The previous prime is 151154027. The next prime is 151154053. The reversal of 151154040 is 40451151.

It is an interprime number because it is at equal distance from previous prime (151154027) and next prime (151154053).

It is a junction number, because it is equal to n+sod(n) for n = 151153998 and 151154016.

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, 3604 + ... + 17756.

Almost surely, 2151154040 is an apocalyptic number.

151154040 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 151154040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229294800).

151154040 is an abundant number, since it is smaller than the sum of its proper divisors (307435560).

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

151154040 is a wasteful number, since it uses less digits than its factorization.

151154040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14256 (or 14252 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 151154040 is about 12294.4719284726. The cubic root of 151154040 is about 532.6884166495.

The spelling of 151154040 in words is "one hundred fifty-one million, one hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 14153 28306 42459 56612 70765 84918 113224 141530 169836 212295 283060 339672 424590 566120 849180 1259617 1698360 2519234 3778851 5038468 6298085 7557702 10076936 12596170 15115404 18894255 25192340 30230808 37788510 50384680 75577020 151154040