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132502740 = 223529271281
BaseRepresentation
bin1111110010111…
…01010011010100
3100020022211120220
413321131103110
5232410041430
621051554340
73166153236
oct771352324
9306284526
10132502740
11688812a7
123845b9b0
13215b39b6
1413852256
15b975110
hex7e5d4d4

132502740 has 96 divisors (see below), whose sum is σ = 386588160. Its totient is φ = 33868800.

The previous prime is 132502739. The next prime is 132502753. The reversal of 132502740 is 47205231.

It is a super-2 number, since 2×1325027402 = 35113952215015200, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 132502740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471400 + ... + 471680.

It is an arithmetic number, because the mean of its divisors is an integer number (4026960).

Almost surely, 2132502740 is an apocalyptic number.

132502740 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 132502740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193294080).

132502740 is an abundant number, since it is smaller than the sum of its proper divisors (254085420).

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

132502740 is a wasteful number, since it uses less digits than its factorization.

132502740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 132502740 is about 11510.9834506006. The cubic root of 132502740 is about 509.8099253242.

Adding to 132502740 its reverse (47205231), we get a palindrome (179707971).

The spelling of 132502740 in words is "one hundred thirty-two million, five hundred two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 271 281 290 348 435 542 562 580 813 843 870 1084 1124 1355 1405 1626 1686 1740 2710 2810 3252 3372 4065 4215 5420 5620 7859 8130 8149 8430 15718 16260 16298 16860 23577 24447 31436 32596 39295 40745 47154 48894 76151 78590 81490 94308 97788 117885 122235 152302 157180 162980 228453 235770 244470 304604 380755 456906 471540 488940 761510 913812 1142265 1523020 2208379 2284530 4416758 4569060 6625137 8833516 11041895 13250274 22083790 26500548 33125685 44167580 66251370 132502740