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96248640 = 2635107937
BaseRepresentation
bin1011011110010…
…10001101000000
320201002221022110
411233022031000
5144114424030
613314535320
72246046165
oct557121500
9221087273
1096248640
114a36a034
1228297540
1316c2c177
14cad606c
1586b31b0
hex5bca340

96248640 has 112 divisors (see below), whose sum is σ = 308774592. Its totient is φ = 25399296.

The previous prime is 96248639. The next prime is 96248641. The reversal of 96248640 is 4684269.

It is an interprime number because it is at equal distance from previous prime (96248639) and next prime (96248641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96248641) 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, 102252 + ... + 103188.

It is an arithmetic number, because the mean of its divisors is an integer number (2756916).

Almost surely, 296248640 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 96248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154387296).

96248640 is an abundant number, since it is smaller than the sum of its proper divisors (212525952).

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

96248640 is a wasteful number, since it uses less digits than its factorization.

96248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 96248640 is about 9810.6391229114. The cubic root of 96248640 is about 458.2806642141.

The spelling of 96248640 in words is "ninety-six million, two hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 107 120 160 192 214 240 320 321 428 480 535 642 856 937 960 1070 1284 1605 1712 1874 2140 2568 2811 3210 3424 3748 4280 4685 5136 5622 6420 6848 7496 8560 9370 10272 11244 12840 14055 14992 17120 18740 20544 22488 25680 28110 29984 34240 37480 44976 51360 56220 59968 74960 89952 100259 102720 112440 149920 179904 200518 224880 299840 300777 401036 449760 501295 601554 802072 899520 1002590 1203108 1503885 1604144 2005180 2406216 3007770 3208288 4010360 4812432 6015540 6416576 8020720 9624864 12031080 16041440 19249728 24062160 32082880 48124320 96248640