Search a number
-
+
133207992 = 233231371613
BaseRepresentation
bin1111111000010…
…01011110111000
3100021122200000100
413330021132320
5233100123432
621115035400
73205151331
oct774113670
9307580010
10133207992
1169213155
123873bb60
132179c9c8
1413997288
15ba6407c
hex7f097b8

133207992 has 96 divisors (see below), whose sum is σ = 382711680. Its totient is φ = 41783040.

The previous prime is 133207969. The next prime is 133208059. The reversal of 133207992 is 299702331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81778 + ... + 83390.

It is an arithmetic number, because the mean of its divisors is an integer number (3986580).

Almost surely, 2133207992 is an apocalyptic number.

133207992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133207992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191355840).

133207992 is an abundant number, since it is smaller than the sum of its proper divisors (249503688).

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

133207992 is a wasteful number, since it uses less digits than its factorization.

133207992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 133207992 is about 11541.5766687225. The cubic root of 133207992 is about 510.7128209967.

It can be divided in two parts, 13320 and 7992, that added together give a palindrome (21312).

The spelling of 133207992 in words is "one hundred thirty-three million, two hundred seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 1116 1147 1332 1613 2232 2294 2664 3226 3441 4588 4839 6452 6882 9176 9678 10323 12904 13764 14517 19356 20646 27528 29034 38712 41292 50003 58068 59681 82584 100006 116136 119362 150009 179043 200012 238724 300018 358086 400024 450027 477448 537129 600036 716172 900054 1074258 1200072 1432344 1800108 1850111 2148516 3600216 3700222 4297032 5550333 7400444 11100666 14800888 16650999 22201332 33301998 44402664 66603996 133207992