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96996060 = 223257233347
BaseRepresentation
bin1011100100000…
…00101011011100
320202111220120200
411302000223130
5144312333220
613342543500
72255311230
oct562005334
9222456520
1096996060
114a82a637
1228597b90
1317131425
14cc4c5c0
1587ae890
hex5c80adc

96996060 has 144 divisors (see below), whose sum is σ = 350977536. Its totient is φ = 21200256.

The previous prime is 96996047. The next prime is 96996073. The reversal of 96996060 is 6069969.

It is an interprime number because it is at equal distance from previous prime (96996047) and next prime (96996073).

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

It is a junction number, because it is equal to n+sod(n) for n = 96995997 and 96996015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27307 + ... + 30653.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 296996060 is an apocalyptic number.

96996060 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 96996060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

96996060 is an abundant number, since it is smaller than the sum of its proper divisors (253981476).

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

96996060 is a wasteful number, since it uses less digits than its factorization.

96996060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 96996060 is about 9848.6577765704. The cubic root of 96996060 is about 459.4638681325.

The spelling of 96996060 in words is "ninety-six million, nine hundred ninety-six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 3347 4140 4830 5796 6694 7245 9660 10041 13388 14490 16735 20082 23429 28980 30123 33470 40164 46858 50205 60246 66940 70287 76981 93716 100410 117145 120492 140574 150615 153962 200820 210861 230943 234290 281148 301230 307924 351435 384905 421722 461886 468580 538867 602460 692829 702870 769810 843444 923772 1054305 1077734 1154715 1385658 1405740 1539620 1616601 2108610 2155468 2309430 2694335 2771316 3233202 3464145 4217220 4618860 4849803 5388670 6466404 6928290 8083005 9699606 10777340 13856580 16166010 19399212 24249015 32332020 48498030 96996060