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96332640 = 2535972069
BaseRepresentation
bin1011011110111…
…10101101100000
320201021012112120
411233132231200
5144130121030
613320424240
72246546115
oct557365540
9221235476
1096332640
114a417158
1228318080
1316c5b481
14cb1890c
1586cd010
hex5bdeb60

96332640 has 96 divisors (see below), whose sum is σ = 306724320. Its totient is φ = 25411584.

The previous prime is 96332633. The next prime is 96332647. The reversal of 96332640 is 4623369.

It is an interprime number because it is at equal distance from previous prime (96332633) and next prime (96332647).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96332647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45526 + ... + 47594.

It is an arithmetic number, because the mean of its divisors is an integer number (3195045).

Almost surely, 296332640 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 96332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153362160).

96332640 is an abundant number, since it is smaller than the sum of its proper divisors (210391680).

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

96332640 is a wasteful number, since it uses less digits than its factorization.

96332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 96332640 is about 9814.9192559083. The cubic root of 96332640 is about 458.4139453436.

The spelling of 96332640 in words is "ninety-six million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2069 2328 2910 3104 3880 4138 4656 5820 6207 7760 8276 9312 10345 11640 12414 15520 16552 20690 23280 24828 31035 33104 41380 46560 49656 62070 66208 82760 99312 124140 165520 198624 200693 248280 331040 401386 496560 602079 802772 993120 1003465 1204158 1605544 2006930 2408316 3010395 3211088 4013860 4816632 6020790 6422176 8027720 9633264 12041580 16055440 19266528 24083160 32110880 48166320 96332640