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132149304 = 23327793319
BaseRepresentation
bin1111110000001…
…11000000111000
3100012122212202200
413320013000320
5232312234204
621040230200
73163151640
oct770070070
9305585680
10132149304
116865a801
123830b360
13214bbb71
141379d520
15b905539
hex7e07038

132149304 has 96 divisors (see below), whose sum is σ = 414336000. Its totient is φ = 37267776.

The previous prime is 132149293. The next prime is 132149323. The reversal of 132149304 is 403941231.

It is a zygodrome in base 2.

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, 38157 + ... + 41475.

It is an arithmetic number, because the mean of its divisors is an integer number (4316000).

Almost surely, 2132149304 is an apocalyptic number.

132149304 is a gapful number since it is divisible by the number (14) 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 132149304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207168000).

132149304 is an abundant number, since it is smaller than the sum of its proper divisors (282186696).

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

132149304 is a wasteful number, since it uses less digits than its factorization.

132149304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132149304 is about 11495.6210793502. The cubic root of 132149304 is about 509.3562350170.

It can be divided in two parts, 1321 and 49304, that added together give a 4-th power (50625 = 154).

The spelling of 132149304 in words is "one hundred thirty-two million, one hundred forty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 79 84 126 158 168 237 252 316 474 504 553 632 711 948 1106 1422 1659 1896 2212 2844 3318 3319 4424 4977 5688 6636 6638 9954 9957 13272 13276 19908 19914 23233 26552 29871 39816 39828 46466 59742 69699 79656 92932 119484 139398 185864 209097 238968 262201 278796 418194 524402 557592 786603 836388 1048804 1573206 1672776 1835407 2097608 2359809 3146412 3670814 4719618 5506221 6292824 7341628 9439236 11012442 14683256 16518663 18878472 22024884 33037326 44049768 66074652 132149304