Search a number
-
+
152270370 = 232571912721
BaseRepresentation
bin10010001001101…
…11011000100010
3101121112010200100
421010313120202
5302440122440
623035403230
73526163640
oct1104673042
9347463610
10152270370
1178a52a8a
1242bb3516
1325715415
141631a190
15d57c230
hex9137622

152270370 has 96 divisors (see below), whose sum is σ = 476311680. Its totient is φ = 32970240.

The previous prime is 152270369. The next prime is 152270381. The reversal of 152270370 is 73072251.

152270370 is a `hidden beast` number, since 1 + 522 + 70 + 3 + 70 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5610 + ... + 18330.

It is an arithmetic number, because the mean of its divisors is an integer number (4961580).

Almost surely, 2152270370 is an apocalyptic number.

152270370 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 152270370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238155840).

152270370 is an abundant number, since it is smaller than the sum of its proper divisors (324041310).

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

152270370 is a wasteful number, since it uses less digits than its factorization.

152270370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12760 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 152270370 is about 12339.7880857007. The cubic root of 152270370 is about 533.9965702763.

The spelling of 152270370 in words is "one hundred fifty-two million, two hundred seventy thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3990 5985 11970 12721 25442 38163 63605 76326 89047 114489 127210 178094 190815 228978 241699 267141 381630 445235 483398 534282 572445 725097 801423 890470 1144890 1208495 1335705 1450194 1602846 1691893 2175291 2416990 2671410 3383786 3625485 4007115 4350582 5075679 7250970 8014230 8459465 10151358 10876455 15227037 16918930 21752910 25378395 30454074 50756790 76135185 152270370