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133203264 = 2632947509
BaseRepresentation
bin1111111000010…
…00010101000000
3100021122102112020
413330020111000
5233100001024
621115001440
73205131465
oct774102500
9307572466
10133203264
116920a647
1238739280
132179a7cc
141399566c
15ba62979
hex7f08540

133203264 has 112 divisors (see below), whose sum is σ = 373075200. Its totient is φ = 41875456.

The previous prime is 133203263. The next prime is 133203269. The reversal of 133203264 is 462302331.

133203264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133203263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261442 + ... + 261950.

Almost surely, 2133203264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186537600).

133203264 is an abundant number, since it is smaller than the sum of its proper divisors (239871936).

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

133203264 is a wasteful number, since it uses less digits than its factorization.

133203264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 133203264 is about 11541.3718422032. The cubic root of 133203264 is about 510.7067786195.

Adding to 133203264 its reverse (462302331), we get a palindrome (595505595).

The spelling of 133203264 in words is "one hundred thirty-three million, two hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 87 94 96 116 141 174 188 192 232 282 348 376 464 509 564 696 752 928 1018 1128 1363 1392 1504 1527 1856 2036 2256 2726 2784 3008 3054 4072 4089 4512 5452 5568 6108 8144 8178 9024 10904 12216 14761 16288 16356 21808 23923 24432 29522 32576 32712 43616 44283 47846 48864 59044 65424 71769 87232 88566 95692 97728 118088 130848 143538 177132 191384 236176 261696 287076 354264 382768 472352 574152 693767 708528 765536 944704 1148304 1387534 1417056 1531072 2081301 2296608 2775068 2834112 4162602 4593216 5550136 8325204 11100272 16650408 22200544 33300816 44401088 66601632 133203264