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152131770 = 2345723833
BaseRepresentation
bin10010001000101…
…01100010111010
3101121021002120000
421010111202322
5302421204040
623032413430
73525045600
oct1104254272
9347232500
10152131770
117896893a
1242b47276
13256972cb
14162c1870
15d551130
hex91158ba

152131770 has 120 divisors (see below), whose sum is σ = 475975764. Its totient is φ = 34763904.

The previous prime is 152131769. The next prime is 152131877. The reversal of 152131770 is 77131251.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 144793089 + 7338681 = 12033^2 + 2709^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37774 + ... + 41606.

Almost surely, 2152131770 is an apocalyptic number.

152131770 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 152131770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237987882).

152131770 is an abundant number, since it is smaller than the sum of its proper divisors (323843994).

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

152131770 is a wasteful number, since it uses less digits than its factorization.

152131770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3850 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 152131770 is about 12334.1708274209. The cubic root of 152131770 is about 533.8345024322.

The spelling of 152131770 in words is "one hundred fifty-two million, one hundred thirty-one thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3833 3969 4410 5670 6615 7666 7938 11499 13230 19165 19845 22998 26831 34497 38330 39690 53662 57495 68994 80493 103491 114990 134155 160986 172485 187817 206982 241479 268310 310473 344970 375634 402465 482958 517455 563451 620946 724437 804930 939085 1034910 1126902 1207395 1448874 1552365 1690353 1878170 2173311 2414790 2817255 3104730 3380706 3622185 4346622 5071059 5634510 7244370 8451765 10142118 10866555 15213177 16903530 21733110 25355295 30426354 50710590 76065885 152131770