Search a number
-
+
152054100 = 2232521115359
BaseRepresentation
bin10010001000000…
…10100101010100
3101121010011000100
421010002211110
5302411212400
623031014100
73524303262
oct1104024524
9347104010
10152054100
1178915550
1242b0a330
132566ab53
14162a1432
15d538100
hex9102954

152054100 has 108 divisors (see below), whose sum is σ = 519966720. Its totient is φ = 36859200.

The previous prime is 152054083. The next prime is 152054129. The reversal of 152054100 is 1450251.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2221 + ... + 17579.

Almost surely, 2152054100 is an apocalyptic number.

152054100 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 152054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

152054100 is an abundant number, since it is smaller than the sum of its proper divisors (367912620).

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

152054100 is a wasteful number, since it uses less digits than its factorization.

152054100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15390 (or 15380 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 152054100 is about 12331.0218554668. The cubic root of 152054100 is about 533.7436382556.

The spelling of 152054100 in words is "one hundred fifty-two million, fifty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 15359 30718 46077 61436 76795 92154 138231 153590 168949 184308 230385 276462 307180 337898 383975 460770 506847 552924 675796 691155 767950 844745 921540 1013694 1151925 1382310 1520541 1535900 1689490 2027388 2303850 2534235 2764620 3041082 3378980 3455775 4223725 4607700 5068470 6082164 6911550 7602705 8447450 10136940 12671175 13823100 15205410 16894900 25342350 30410820 38013525 50684700 76027050 152054100