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99900128 = 2529831297
BaseRepresentation
bin1011111010001…
…01101011100000
320221222110012202
411331011223200
5201033301003
613525112332
72322065006
oct575055340
9227873182
1099900128
1151433499
12295586a8
131790a203
14d3a6a76
158b85088
hex5f45ae0

99900128 has 48 divisors (see below), whose sum is σ = 206070480. Its totient is φ = 47609856.

The previous prime is 99900113. The next prime is 99900133. The reversal of 99900128 is 82100999.

It is a junction number, because it is equal to n+sod(n) for n = 99900091 and 99900100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76376 + ... + 77672.

It is an arithmetic number, because the mean of its divisors is an integer number (4293135).

Almost surely, 299900128 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 99900128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103035240).

99900128 is an abundant number, since it is smaller than the sum of its proper divisors (106170352).

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

99900128 is a wasteful number, since it uses less digits than its factorization.

99900128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 99900128 is about 9995.0051525750. The cubic root of 99900128 is about 464.0043103048.

The spelling of 99900128 in words is "ninety-nine million, nine hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 83 116 166 232 332 464 664 928 1297 1328 2407 2594 2656 4814 5188 9628 10376 19256 20752 37613 38512 41504 75226 77024 107651 150452 215302 300904 430604 601808 861208 1203616 1722416 3121879 3444832 6243758 12487516 24975032 49950064 99900128