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96495360 = 2835131933
BaseRepresentation
bin1011100000001…
…10011100000000
320201120110202020
411300012130000
5144200322420
613324121440
72251124403
oct560063400
9221513666
1096495360
114a518435
1228396280
1316cb7560
14cb5bd3a
158711340
hex5c06700

96495360 has 144 divisors (see below), whose sum is σ = 332060064. Its totient is φ = 23740416.

The previous prime is 96495353. The next prime is 96495361. The reversal of 96495360 is 6359469.

It is a super-2 number, since 2×964953602 = 18622709003059200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96495361) 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, 48954 + ... + 50886.

Almost surely, 296495360 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 96495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166030032).

96495360 is an abundant number, since it is smaller than the sum of its proper divisors (235564704).

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

96495360 is a wasteful number, since it uses less digits than its factorization.

96495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 96495360 is about 9823.2051795735. The cubic root of 96495360 is about 458.6719096811.

The spelling of 96495360 in words is "ninety-six million, four hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 1933 2080 2496 3120 3328 3840 3866 4160 4992 5799 6240 7732 8320 9665 9984 11598 12480 15464 16640 19330 23196 24960 25129 28995 30928 38660 46392 49920 50258 57990 61856 75387 77320 92784 100516 115980 123712 125645 150774 154640 185568 201032 231960 247424 251290 301548 309280 371136 376935 402064 463920 494848 502580 603096 618560 742272 753870 804128 927840 1005160 1206192 1237120 1484544 1507740 1608256 1855680 2010320 2412384 2474240 3015480 3216512 3711360 4020640 4824768 6030960 6433024 7422720 8041280 9649536 12061920 16082560 19299072 24123840 32165120 48247680 96495360