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96996120 = 23351397641
BaseRepresentation
bin1011100100000…
…00101100011000
320202111220122220
411302000230120
5144312333440
613342544040
72255311344
oct562005430
9222456586
1096996120
114a82a691
1228598020
1317131470
14cc4c624
1587ae8d0
hex5c80b18

96996120 has 128 divisors (see below), whose sum is σ = 317096640. Its totient is φ = 23592960.

The previous prime is 96996079. The next prime is 96996131. The reversal of 96996120 is 2169969.

96996120 = T59 + T60 + ... + T834.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151000 + ... + 151640.

Almost surely, 296996120 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 96996120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158548320).

96996120 is an abundant number, since it is smaller than the sum of its proper divisors (220100520).

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

96996120 is a wasteful number, since it uses less digits than its factorization.

96996120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 96996120 is about 9848.6608226703. The cubic root of 96996120 is about 459.4639628712.

The spelling of 96996120 in words is "ninety-six million, nine hundred ninety-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 156 194 195 260 291 312 388 390 485 520 582 641 776 780 970 1164 1261 1282 1455 1560 1923 1940 2328 2522 2564 2910 3205 3783 3846 3880 5044 5128 5820 6305 6410 7566 7692 8333 9615 10088 11640 12610 12820 15132 15384 16666 18915 19230 24999 25220 25640 30264 33332 37830 38460 41665 49998 50440 62177 66664 75660 76920 83330 99996 124354 124995 151320 166660 186531 199992 248708 249990 310885 333320 373062 497416 499980 621770 746124 808301 932655 999960 1243540 1492248 1616602 1865310 2424903 2487080 3233204 3730620 4041505 4849806 6466408 7461240 8083010 9699612 12124515 16166020 19399224 24249030 32332040 48498060 96996120