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93120468 = 223723157307
BaseRepresentation
bin1011000110011…
…10011111010100
320111020000021020
411203032133110
5142314323333
613123521140
72210340150
oct543163724
9214200236
1093120468
1148622871
12272291b0
13163a538c
14c520060
1582963b3
hex58ce7d4

93120468 has 96 divisors (see below), whose sum is σ = 261617664. Its totient is φ = 25204608.

The previous prime is 93120457. The next prime is 93120473. The reversal of 93120468 is 86402139.

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, 303171 + ... + 303477.

It is an arithmetic number, because the mean of its divisors is an integer number (2725184).

Almost surely, 293120468 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 93120468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130808832).

93120468 is an abundant number, since it is smaller than the sum of its proper divisors (168497196).

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

93120468 is a wasteful number, since it uses less digits than its factorization.

93120468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 93120468 is about 9649.8947144516. The cubic root of 93120468 is about 453.2610320584.

The spelling of 93120468 in words is "ninety-three million, one hundred twenty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 157 161 276 307 314 322 471 483 614 628 644 921 942 966 1099 1228 1842 1884 1932 2149 2198 3297 3611 3684 4298 4396 6447 6594 7061 7222 8596 10833 12894 13188 14122 14444 21183 21666 25277 25788 28244 42366 43332 48199 49427 50554 75831 84732 96398 98854 101108 144597 148281 151662 192796 197708 289194 296562 303324 337393 578388 593124 674786 1012179 1108577 1349572 2024358 2217154 3325731 4048716 4434308 6651462 7760039 13302924 15520078 23280117 31040156 46560234 93120468