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970132332 = 223132736553
BaseRepresentation
bin111001110100110…
…000101101101100
32111121110211101010
4321310300231230
53441323213312
6240133145220
733016663101
oct7164605554
92447424333
10970132332
11458683864
12230a8b210
13125cb0500
1492bb4aa8
155a28193c
hex39d30b6c

970132332 has 72 divisors (see below), whose sum is σ = 2485119504. Its totient is φ = 294368256.

The previous prime is 970132313. The next prime is 970132337. The reversal of 970132332 is 233231079.

It is a self number, because there is not a number n which added to its sum of digits gives 970132332.

It is not an unprimeable number, because it can be changed into a prime (970132337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144768 + ... + 151320.

Almost surely, 2970132332 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 970132332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242559752).

970132332 is an abundant number, since it is smaller than the sum of its proper divisors (1514987172).

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

970132332 is a wasteful number, since it uses less digits than its factorization.

970132332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 970132332 is about 31146.9473945682. The cubic root of 970132332 is about 989.9433127423.

The spelling of 970132332 in words is "nine hundred seventy million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 146 156 169 219 292 338 438 507 676 876 949 1014 1898 2028 2847 3796 5694 6553 11388 12337 13106 19659 24674 26212 37011 39318 49348 74022 78636 85189 148044 170378 255567 340756 478369 511134 956738 1022268 1107457 1435107 1913476 2214914 2870214 3322371 4429828 5740428 6218797 6644742 12437594 13289484 18656391 24875188 37312782 74625564 80844361 161688722 242533083 323377444 485066166 970132332