Search a number
-
+
133021590 = 23513226237
BaseRepresentation
bin1111110110110…
…11111110010110
3100021022012022120
413323123332112
5233023142330
621111040410
73203444022
oct773337626
9307265276
10133021590
11690a60a9
1238670106
1321735c00
1413949382
15ba28c10
hex7edbf96

133021590 has 48 divisors (see below), whose sum is σ = 345711888. Its totient is φ = 32742528.

The previous prime is 133021571. The next prime is 133021591. The reversal of 133021590 is 95120331.

It is a happy number.

It is a super-2 number, since 2×1330215902 = 35389486812256200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133021590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133021591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8049 + ... + 18188.

It is an arithmetic number, because the mean of its divisors is an integer number (7202331).

Almost surely, 2133021590 is an apocalyptic number.

133021590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133021590 is an abundant number, since it is smaller than the sum of its proper divisors (212690298).

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

133021590 is a wasteful number, since it uses less digits than its factorization.

133021590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26273 (or 26260 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 133021590 is about 11533.4986018987. The cubic root of 133021590 is about 510.4744911267.

The spelling of 133021590 in words is "one hundred thirty-three million, twenty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 26237 52474 78711 131185 157422 262370 341081 393555 682162 787110 1023243 1705405 2046486 3410810 4434053 5116215 8868106 10232430 13302159 22170265 26604318 44340530 66510795 133021590