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151006050 = 232521383311
BaseRepresentation
bin10010000000000…
…10101101100010
3101112010220100200
421000002231202
5302124143200
622552330030
73512346606
oct1100025542
9345126320
10151006050
117826a098
12426a3916
1325391ac0
14160ab506
15d3cc800
hex9002b62

151006050 has 144 divisors (see below), whose sum is σ = 443596608. Its totient is φ = 36604800.

The previous prime is 151006027. The next prime is 151006069. The reversal of 151006050 is 50600151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 485395 + ... + 485705.

It is an arithmetic number, because the mean of its divisors is an integer number (3080532).

Almost surely, 2151006050 is an apocalyptic number.

151006050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151006050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221798304).

151006050 is an abundant number, since it is smaller than the sum of its proper divisors (292590558).

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

151006050 is a wasteful number, since it uses less digits than its factorization.

151006050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 151006050 is about 12288.4518959875. The cubic root of 151006050 is about 532.5145139203.

The spelling of 151006050 in words is "one hundred fifty-one million, six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 83 90 117 130 150 166 195 225 234 249 311 325 390 415 450 498 585 622 650 747 830 933 975 1079 1170 1245 1494 1555 1866 1950 2075 2158 2490 2799 2925 3110 3237 3735 4043 4150 4665 5395 5598 5850 6225 6474 7470 7775 8086 9330 9711 10790 12129 12450 13995 15550 16185 18675 19422 20215 23325 24258 25813 26975 27990 32370 36387 37350 40430 46650 48555 51626 53950 60645 69975 72774 77439 80925 97110 101075 121290 129065 139950 154878 161850 181935 202150 232317 242775 258130 303225 335569 363870 387195 464634 485550 606450 645325 671138 774390 909675 1006707 1161585 1290650 1677845 1819350 1935975 2013414 2323170 3020121 3355690 3871950 5033535 5807925 6040242 8389225 10067070 11615850 15100605 16778450 25167675 30201210 50335350 75503025 151006050