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96941040 = 24357193037
BaseRepresentation
bin1011100011100…
…11001111110000
320202102010002220
411301303033300
5144304103130
613341441040
72254661640
oct561631760
9222363086
1096941040
114a7a2269
1228570180
1317112381
14cc36520
15879d410
hex5c733f0

96941040 has 160 divisors (see below), whose sum is σ = 361643520. Its totient is φ = 20984832.

The previous prime is 96941023. The next prime is 96941041. The reversal of 96941040 is 4014969.

It is a junction number, because it is equal to n+sod(n) for n = 96940992 and 96941010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96941041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30402 + ... + 33438.

It is an arithmetic number, because the mean of its divisors is an integer number (2260272).

Almost surely, 296941040 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 96941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180821760).

96941040 is an abundant number, since it is smaller than the sum of its proper divisors (264702480).

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

96941040 is a wasteful number, since it uses less digits than its factorization.

96941040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 96941040 is about 9845.8641063139. The cubic root of 96941040 is about 459.3769763439.

The spelling of 96941040 in words is "ninety-six million, nine hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3037 3192 3990 4560 5320 6074 6384 7980 9111 10640 12148 15185 15960 18222 21259 24296 30370 31920 36444 42518 45555 48592 57703 60740 63777 72888 85036 91110 106295 115406 121480 127554 145776 170072 173109 182220 212590 230812 242960 255108 288515 318885 340144 346218 364440 403921 425180 461624 510216 577030 637770 692436 728880 807842 850360 865545 923248 1020432 1154060 1211763 1275540 1384872 1615684 1700720 1731090 2019605 2308120 2423526 2551080 2769744 3231368 3462180 4039210 4616240 4847052 5102160 6058815 6462736 6924360 8078420 9694104 12117630 13848720 16156840 19388208 24235260 32313680 48470520 96941040