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151040660 = 22537401509
BaseRepresentation
bin10010000000010…
…11001010010100
3101112012122211112
421000023022110
5302131300120
622553154152
73512552531
oct1100131224
9345178745
10151040660
11782930a1
12426bb958
13253a4794
14160b9d88
15d3d7bc5
hex900b294

151040660 has 48 divisors (see below), whose sum is σ = 327211920. Its totient is φ = 58521600.

The previous prime is 151040651. The next prime is 151040663. The reversal of 151040660 is 66040151.

It can be written as a sum of positive squares in 8 ways, for example, as 58033924 + 93006736 = 7618^2 + 9644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151040663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296486 + ... + 296994.

It is an arithmetic number, because the mean of its divisors is an integer number (6816915).

Almost surely, 2151040660 is an apocalyptic number.

151040660 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 151040660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163605960).

151040660 is an abundant number, since it is smaller than the sum of its proper divisors (176171260).

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

151040660 is a wasteful number, since it uses less digits than its factorization.

151040660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 151040660 is about 12289.8600480233. The cubic root of 151040660 is about 532.5551942318. Note that the first 3 decimals are identical.

The spelling of 151040660 in words is "one hundred fifty-one million, forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 401 509 740 802 1018 1604 2005 2036 2545 4010 5090 8020 10180 14837 18833 29674 37666 59348 74185 75332 94165 148370 188330 204109 296740 376660 408218 816436 1020545 2041090 4082180 7552033 15104066 30208132 37760165 75520330 151040660