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132503488 = 2613672377
BaseRepresentation
bin1111110010111…
…01011111000000
3100020022212121121
413321131133000
5232410102423
621052002024
73166155355
oct771353700
9306285547
10132503488
1168881917
1238460314
13215b4140
141385262c
15b97545d
hex7e5d7c0

132503488 has 56 divisors (see below), whose sum is σ = 287509712. Its totient is φ = 60217344.

The previous prime is 132503479. The next prime is 132503507. The reversal of 132503488 is 884305231.

It is a happy number.

It is a super-2 number, since 2×1325034882 = 35114348664332288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54556 + ... + 56932.

It is an arithmetic number, because the mean of its divisors is an integer number (5134102).

Almost surely, 2132503488 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 132503488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143754856).

132503488 is an abundant number, since it is smaller than the sum of its proper divisors (155006224).

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

132503488 is a wasteful number, since it uses less digits than its factorization.

132503488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 132503488 is about 11511.0159412625. The cubic root of 132503488 is about 509.8108846430.

The spelling of 132503488 in words is "one hundred thirty-two million, five hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 1072 1742 2144 2377 3484 4288 4754 6968 9508 13936 19016 27872 30901 38032 55744 61802 76064 123604 152128 159259 247208 318518 494416 637036 988832 1274072 1977664 2070367 2548144 4140734 5096288 8281468 10192576 16562936 33125872 66251744 132503488