Search a number
-
+
152410770 = 23253721237
BaseRepresentation
bin10010001010110…
…01101010010010
3101121210021021100
421011121222102
5303004121040
623042405230
73530320161
oct1105315222
9347707240
10152410770
1179039516
1243060816
13257642b5
14163553d8
15d5a8b30
hex9159a92

152410770 has 72 divisors (see below), whose sum is σ = 407596644. Its totient is φ = 39512448.

The previous prime is 152410711. The next prime is 152410777. The reversal of 152410770 is 77014251.

It can be written as a sum of positive squares in 6 ways, for example, as 141776649 + 10634121 = 11907^2 + 3261^2 .

It is not an unprimeable number, because it can be changed into a prime (152410777) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122592 + ... + 123828.

Almost surely, 2152410770 is an apocalyptic number.

152410770 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 152410770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203798322).

152410770 is an abundant number, since it is smaller than the sum of its proper divisors (255185874).

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

152410770 is a wasteful number, since it uses less digits than its factorization.

152410770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 152410770 is about 12345.4756894986. The cubic root of 152410770 is about 534.1606426594.

The spelling of 152410770 in words is "one hundred fifty-two million, four hundred ten thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1237 1369 1665 2474 2738 3330 3711 4107 6185 6845 7422 8214 11133 12321 12370 13690 18555 20535 22266 24642 37110 41070 45769 55665 61605 91538 111330 123210 137307 228845 274614 411921 457690 686535 823842 1373070 1693453 2059605 3386906 4119210 5080359 8467265 10160718 15241077 16934530 25401795 30482154 50803590 76205385 152410770