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151064460 = 223352312163
BaseRepresentation
bin10010000000100…
…00111110001100
3101112020212111000
421000100332030
5302133030320
622553500300
73513012111
oct1100207614
9345225430
10151064460
11782a9a68
1242711690
13253b2571
14160c4908
15d3dec90
hex9010f8c

151064460 has 96 divisors (see below), whose sum is σ = 490452480. Its totient is φ = 38529216.

The previous prime is 151064449. The next prime is 151064479. The reversal of 151064460 is 64460151.

151064460 is a `hidden beast` number, since 1 + 5 + 10 + 644 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6339 + ... + 18501.

It is an arithmetic number, because the mean of its divisors is an integer number (5108880).

Almost surely, 2151064460 is an apocalyptic number.

151064460 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 151064460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245226240).

151064460 is an abundant number, since it is smaller than the sum of its proper divisors (339388020).

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

151064460 is a wasteful number, since it uses less digits than its factorization.

151064460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12204 (or 12196 counting only the distinct ones).

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

The square root of 151064460 is about 12290.8282877925. The cubic root of 151064460 is about 532.5831649516.

The spelling of 151064460 in words is "one hundred fifty-one million, sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12163 12420 24326 36489 48652 60815 72978 109467 121630 145956 182445 218934 243260 279749 328401 364890 437868 547335 559498 656802 729780 839247 1094670 1118996 1313604 1398745 1642005 1678494 2189340 2517741 2797490 3284010 3356988 4196235 5035482 5594980 6568020 7553223 8392470 10070964 12588705 15106446 16784940 25177410 30212892 37766115 50354820 75532230 151064460