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132552740 = 2251731971
BaseRepresentation
bin1111110011010…
…01100000100100
3100020102101011202
413321221200210
5232413141430
621053022032
73166452065
oct771514044
9306371152
10132552740
1168905921
1238484918
1321600698
141386656c
15b984d45
hex7e69824

132552740 has 96 divisors (see below), whose sum is σ = 315705600. Its totient is φ = 46609920.

The previous prime is 132552727. The next prime is 132552767. The reversal of 132552740 is 47255231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866905 + ... + 1866975.

It is an arithmetic number, because the mean of its divisors is an integer number (3288600).

Almost surely, 2132552740 is an apocalyptic number.

132552740 is a gapful number since it is divisible by the number (10) 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 132552740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157852800).

132552740 is an abundant number, since it is smaller than the sum of its proper divisors (183152860).

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

132552740 is a wasteful number, since it uses less digits than its factorization.

132552740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 132552740 is about 11513.1550845109. The cubic root of 132552740 is about 509.8740429685.

The spelling of 132552740 in words is "one hundred thirty-two million, five hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 71 76 85 95 142 170 190 284 289 323 340 355 380 578 646 710 1156 1207 1292 1349 1420 1445 1615 2414 2698 2890 3230 4828 4913 5396 5491 5780 6035 6460 6745 9826 10982 12070 13490 19652 20519 21964 22933 24140 24565 26980 27455 41038 45866 49130 54910 82076 91732 93347 98260 102595 109820 114665 186694 205190 229330 348823 373388 389861 410380 458660 466735 697646 779722 933470 1395292 1559444 1744115 1866940 1949305 3488230 3898610 6627637 6976460 7797220 13255274 26510548 33138185 66276370 132552740