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96979220 = 225131737593
BaseRepresentation
bin1011100011111…
…00100100010100
320202111001110222
411301330210110
5144311313340
613342333512
72255211152
oct561744424
9222431428
1096979220
114a818a18
122858a298
1317126870
14cc463d2
1587a98b5
hex5c7c914

96979220 has 96 divisors (see below), whose sum is σ = 238902048. Its totient is φ = 32735232.

The previous prime is 96979193. The next prime is 96979229. The reversal of 96979220 is 2297969.

96979220 = T332 + T333 + ... + T851.

It can be written as a sum of positive squares in 16 ways, for example, as 4857616 + 92121604 = 2204^2 + 9598^2 .

It is a super-2 number, since 2×969792202 = 18809938223616800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96979229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163244 + ... + 163836.

It is an arithmetic number, because the mean of its divisors is an integer number (2488563).

Almost surely, 296979220 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 96979220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119451024).

96979220 is an abundant number, since it is smaller than the sum of its proper divisors (141922828).

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

96979220 is a wasteful number, since it uses less digits than its factorization.

96979220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 44.

The square root of 96979220 is about 9847.8028006251. The cubic root of 96979220 is about 459.4372766079.

The spelling of 96979220 in words is "ninety-six million, nine hundred seventy-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 37 52 65 68 74 85 130 148 170 185 221 260 340 370 442 481 593 629 740 884 962 1105 1186 1258 1924 2210 2372 2405 2516 2965 3145 4420 4810 5930 6290 7709 8177 9620 10081 11860 12580 15418 16354 20162 21941 30836 32708 38545 40324 40885 43882 50405 77090 81770 87764 100810 109705 131053 154180 163540 201620 219410 262106 285233 372997 438820 524212 570466 655265 745994 1140932 1310530 1426165 1491988 1864985 2621060 2852330 3729970 4848961 5704660 7459940 9697922 19395844 24244805 48489610 96979220