Search a number
-
+
152700552 = 2334713319
BaseRepresentation
bin10010001101000…
…00011010001000
3101122022222210000
421012200122020
5303042404202
623052523000
73532635054
oct1106403210
9348288700
10152700552
1179217204
1243180460
1325836174
14163ccc64
15d61491c
hex91a0688

152700552 has 80 divisors (see below), whose sum is σ = 433857600. Its totient is φ = 50168160.

The previous prime is 152700551. The next prime is 152700553. The reversal of 152700552 is 255007251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152700551) and next prime (152700553).

It is a super-2 number, since 2×1527005522 = 46634917162209408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (152700551) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44349 + ... + 47667.

It is an arithmetic number, because the mean of its divisors is an integer number (5423220).

Almost surely, 2152700552 is an apocalyptic number.

152700552 is a gapful number since it is divisible by the number (12) 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 152700552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216928800).

152700552 is an abundant number, since it is smaller than the sum of its proper divisors (281157048).

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

152700552 is a wasteful number, since it uses less digits than its factorization.

152700552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 152700552 is about 12357.2064804308. The cubic root of 152700552 is about 534.4989655151.

The spelling of 152700552 in words is "one hundred fifty-two million, seven hundred thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 284 324 426 568 639 648 852 1278 1704 1917 2556 3319 3834 5112 5751 6638 7668 9957 11502 13276 15336 19914 23004 26552 29871 39828 46008 59742 79656 89613 119484 179226 235649 238968 268839 358452 471298 537678 706947 716904 942596 1075356 1413894 1885192 2120841 2150712 2827788 4241682 5655576 6362523 8483364 12725046 16966728 19087569 25450092 38175138 50900184 76350276 152700552