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151040652 = 223719101937
BaseRepresentation
bin10010000000010…
…11001010001100
3101112012122211020
421000023022030
5302131300102
622553154140
73512552520
oct1100131214
9345178736
10151040652
1178293094
12426bb950
13253a4789
14160b9d80
15d3d7bbc
hex900b28c

151040652 has 96 divisors (see below), whose sum is σ = 428628480. Its totient is φ = 40435200.

The previous prime is 151040651. The next prime is 151040663. The reversal of 151040652 is 256040151.

It is not an unprimeable number, because it can be changed into a prime (151040651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160728 + ... + 161664.

It is an arithmetic number, because the mean of its divisors is an integer number (4464880).

Almost surely, 2151040652 is an apocalyptic number.

151040652 is a gapful number since it is divisible by the number (12) 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 151040652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214314240).

151040652 is an abundant number, since it is smaller than the sum of its proper divisors (277587828).

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

151040652 is a wasteful number, since it uses less digits than its factorization.

151040652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 151040652 is about 12289.8597225518. The cubic root of 151040652 is about 532.5551848294. Note that the first 3 decimals are identical.

The spelling of 151040652 in words is "one hundred fifty-one million, forty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 101 114 133 202 228 266 303 399 404 532 606 707 798 937 1212 1414 1596 1874 1919 2121 2811 2828 3748 3838 4242 5622 5757 6559 7676 8484 11244 11514 13118 13433 17803 19677 23028 26236 26866 35606 39354 40299 53409 53732 71212 78708 80598 94637 106818 124621 161196 189274 213636 249242 283911 373863 378548 498484 567822 662459 747726 1135644 1324918 1495452 1798103 1987377 2649836 3596206 3974754 5394309 7192412 7949508 10788618 12586721 21577236 25173442 37760163 50346884 75520326 151040652