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96949080 = 23325713793
BaseRepresentation
bin1011100011101…
…01001101011000
320202102112010200
411301311031120
5144304332310
613341542200
72255024244
oct561651530
9222375120
1096949080
114a7a8308
1228574960
1317115c27
14cc39424
1587a09c0
hex5c75358

96949080 has 96 divisors (see below), whose sum is σ = 319606560. Its totient is φ = 25482240.

The previous prime is 96949057. The next prime is 96949087. The reversal of 96949080 is 8094969.

It is a super-2 number, since 2×969490802 = 18798248225692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96949087) 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, 23664 + ... + 27456.

It is an arithmetic number, because the mean of its divisors is an integer number (3329235).

Almost surely, 296949080 is an apocalyptic number.

96949080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96949080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159803280).

96949080 is an abundant number, since it is smaller than the sum of its proper divisors (222657480).

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

96949080 is a wasteful number, since it uses less digits than its factorization.

96949080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3874 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 96949080 is about 9846.2723911133. The cubic root of 96949080 is about 459.3896757772.

The spelling of 96949080 in words is "ninety-six million, nine hundred forty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 3793 4260 5112 6390 7586 8520 11379 12780 15172 18965 22758 25560 30344 34137 37930 45516 56895 68274 75860 91032 113790 136548 151720 170685 227580 269303 273096 341370 455160 538606 682740 807909 1077212 1346515 1365480 1615818 2154424 2423727 2693030 3231636 4039545 4847454 5386060 6463272 8079090 9694908 10772120 12118635 16158180 19389816 24237270 32316360 48474540 96949080