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151417140 = 223573491033
BaseRepresentation
bin10010000011001…
…11000100110100
3101112220210021020
421001213010310
5302230322030
623005221140
73516011250
oct1101470464
9345823236
10151417140
117851aa36
12428617b0
13254a6c54
1416177260
15d45e510
hex9067134

151417140 has 96 divisors (see below), whose sum is σ = 486393600. Its totient is φ = 34477056.

The previous prime is 151417139. The next prime is 151417151. The reversal of 151417140 is 41714151.

151417140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 151417140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146064 + ... + 147096.

It is an arithmetic number, because the mean of its divisors is an integer number (5066600).

Almost surely, 2151417140 is an apocalyptic number.

151417140 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 151417140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243196800).

151417140 is an abundant number, since it is smaller than the sum of its proper divisors (334976460).

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

151417140 is a wasteful number, since it uses less digits than its factorization.

151417140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 151417140 is about 12305.1672073158. The cubic root of 151417140 is about 532.9973048216.

The spelling of 151417140 in words is "one hundred fifty-one million, four hundred seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 349 420 698 1033 1047 1396 1745 2066 2094 2443 3099 3490 4132 4188 4886 5165 5235 6198 6980 7231 7329 9772 10330 10470 12215 12396 14462 14658 15495 20660 20940 21693 24430 28924 29316 30990 36155 36645 43386 48860 61980 72310 73290 86772 108465 144620 146580 216930 360517 433860 721034 1081551 1442068 1802585 2163102 2523619 3605170 4326204 5047238 5407755 7210340 7570857 10094476 10815510 12618095 15141714 21631020 25236190 30283428 37854285 50472380 75708570 151417140