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152142200 = 23527109997
BaseRepresentation
bin10010001000110…
…00000101111000
3101121021121212022
421010120011320
5302422022300
623032534012
73525121160
oct1104300570
9347247768
10152142200
1178975761
1242b51308
132569bc92
14162c55a0
15d554285
hex9118178

152142200 has 96 divisors (see below), whose sum is σ = 408381600. Its totient is φ = 51632640.

The previous prime is 152142191. The next prime is 152142223. The reversal of 152142200 is 2241251.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152102 + ... + 153098.

It is an arithmetic number, because the mean of its divisors is an integer number (4253975).

Almost surely, 2152142200 is an apocalyptic number.

152142200 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 152142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204190800).

152142200 is an abundant number, since it is smaller than the sum of its proper divisors (256239400).

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

152142200 is a wasteful number, since it uses less digits than its factorization.

152142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 152142200 is about 12334.5936293013. The cubic root of 152142200 is about 533.8467018709.

Adding to 152142200 its reverse (2241251), we get a palindrome (154383451).

The spelling of 152142200 in words is "one hundred fifty-two million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 109 140 175 200 218 280 350 436 545 700 763 872 997 1090 1400 1526 1994 2180 2725 3052 3815 3988 4360 4985 5450 6104 6979 7630 7976 9970 10900 13958 15260 19075 19940 21800 24925 27916 30520 34895 38150 39880 49850 55832 69790 76300 99700 108673 139580 152600 174475 199400 217346 279160 348950 434692 543365 697900 760711 869384 1086730 1395800 1521422 2173460 2716825 3042844 3803555 4346920 5433650 6085688 7607110 10867300 15214220 19017775 21734600 30428440 38035550 76071100 152142200