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104998896 = 2433376569
BaseRepresentation
bin1100100001000…
…10011111110000
321022120111102000
412100202133300
5203334431041
614230254000
72413322142
oct620423760
9238514360
10104998896
11542a6252
122b1b7300
13189a3c32
14dd32c92
159340bb6
hex64227f0

104998896 has 80 divisors (see below), whose sum is σ = 309578400. Its totient is φ = 34048512.

The previous prime is 104998871. The next prime is 104998897. The reversal of 104998896 is 698899401.

It is a super-2 number, since 2×1049988962 = 22049536322437632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104998897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12700 + ... + 19268.

It is an arithmetic number, because the mean of its divisors is an integer number (3869730).

Almost surely, 2104998896 is an apocalyptic number.

104998896 is a gapful number since it is divisible by the number (16) 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 104998896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154789200).

104998896 is an abundant number, since it is smaller than the sum of its proper divisors (204579504).

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

104998896 is a wasteful number, since it uses less digits than its factorization.

104998896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6623 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 104998896 is about 10246.8968961340. The cubic root of 104998896 is about 471.7677445864.

The spelling of 104998896 in words is "one hundred four million, nine hundred ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3996 5328 6569 7992 13138 15984 19707 26276 39414 52552 59121 78828 105104 118242 157656 177363 236484 243053 315312 354726 472968 486106 709452 729159 945936 972212 1418904 1458318 1944424 2187477 2837808 2916636 3888848 4374954 5833272 6562431 8749908 11666544 13124862 17499816 26249724 34999632 52499448 104998896