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99474120 = 233251914543
BaseRepresentation
bin1011110110111…
…01101011001000
320221011210211200
411323131223020
5200431132440
613512024200
72315342004
oct573355310
9227153750
1099474120
1151172419
1229392060
13177bb335
14d2d5704
158aedc30
hex5eddac8

99474120 has 96 divisors (see below), whose sum is σ = 340329600. Its totient is φ = 25128576.

The previous prime is 99474091. The next prime is 99474121. The reversal of 99474120 is 2147499.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99474121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432 + ... + 14111.

It is an arithmetic number, because the mean of its divisors is an integer number (3545100).

Almost surely, 299474120 is an apocalyptic number.

99474120 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 99474120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170164800).

99474120 is an abundant number, since it is smaller than the sum of its proper divisors (240855480).

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

99474120 is a wasteful number, since it uses less digits than its factorization.

99474120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14579 (or 14572 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 99474120 is about 9973.6713400833. The cubic root of 99474120 is about 463.3438133452.

The spelling of 99474120 in words is "ninety-nine million, four hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 14543 29086 43629 58172 72715 87258 116344 130887 145430 174516 218145 261774 276317 290860 349032 436290 523548 552634 581720 654435 828951 872580 1047096 1105268 1308870 1381585 1657902 1745160 2210536 2486853 2617740 2763170 3315804 4144755 4973706 5235480 5526340 6631608 8289510 9947412 11052680 12434265 16579020 19894824 24868530 33158040 49737060 99474120