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133251930 = 23257257823
BaseRepresentation
bin1111111000101…
…00001101011010
3100021201220021200
413330110031122
5233103030210
621120015030
73205423410
oct774241532
9307656250
10133251930
1169243169
1238761476
13217b69c6
14139a92b0
15ba720c0
hex7f1435a

133251930 has 96 divisors (see below), whose sum is σ = 397972224. Its totient is φ = 30302208.

The previous prime is 133251893. The next prime is 133251931. The reversal of 133251930 is 39152331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133251894 and 133251903.

It is not an unprimeable number, because it can be changed into a prime (133251931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161499 + ... + 162321.

It is an arithmetic number, because the mean of its divisors is an integer number (4145544).

Almost surely, 2133251930 is an apocalyptic number.

133251930 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 133251930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198986112).

133251930 is an abundant number, since it is smaller than the sum of its proper divisors (264720294).

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

133251930 is a wasteful number, since it uses less digits than its factorization.

133251930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 133251930 is about 11543.4799778923. The cubic root of 133251930 is about 510.7689668601.

The spelling of 133251930 in words is "one hundred thirty-three million, two hundred fifty-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 257 315 514 630 771 823 1285 1542 1646 1799 2313 2469 2570 3598 3855 4115 4626 4938 5397 5761 7407 7710 8230 8995 10794 11522 11565 12345 14814 16191 17283 17990 23130 24690 26985 28805 32382 34566 37035 51849 53970 57610 74070 80955 86415 103698 161910 172830 211511 259245 423022 518490 634533 1057555 1269066 1480577 1903599 2115110 2961154 3172665 3807198 4441731 6345330 7402885 8883462 9517995 13325193 14805770 19035990 22208655 26650386 44417310 66625965 133251930