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99098880 = 2835131197
BaseRepresentation
bin1011110100000…
…10000100000000
320220110202002220
411322002010000
5200332131010
613500011040
72312220006
oct572020400
9226422086
1099098880
1150a36501
1229230a80
13176b95ba
14d238a76
158a77970
hex5e82100

99098880 has 144 divisors (see below), whose sum is σ = 320531904. Its totient is φ = 26091520.

The previous prime is 99098863. The next prime is 99098897. The reversal of 99098880 is 8889099.

It is an interprime number because it is at equal distance from previous prime (99098863) and next prime (99098897).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502942 + ... + 503138.

It is an arithmetic number, because the mean of its divisors is an integer number (2225916).

Almost surely, 299098880 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 99098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160265952).

99098880 is an abundant number, since it is smaller than the sum of its proper divisors (221433024).

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

99098880 is a wasteful number, since it uses less digits than its factorization.

99098880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The square root of 99098880 is about 9954.8420379231. The cubic root of 99098880 is about 462.7604649258.

The spelling of 99098880 in words is "ninety-nine million, ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 197 240 256 262 320 384 393 394 480 524 591 640 655 768 786 788 960 985 1048 1182 1280 1310 1572 1576 1920 1965 1970 2096 2364 2620 2955 3144 3152 3840 3930 3940 4192 4728 5240 5910 6288 6304 7860 7880 8384 9456 10480 11820 12576 12608 15720 15760 16768 18912 20960 23640 25152 25216 25807 31440 31520 33536 37824 41920 47280 50304 50432 51614 62880 63040 75648 77421 83840 94560 100608 103228 125760 126080 129035 151296 154842 167680 189120 206456 251520 252160 258070 309684 378240 387105 412912 503040 516140 619368 756480 774210 825824 1032280 1238736 1548420 1651648 2064560 2477472 3096840 3303296 4129120 4954944 6193680 6606592 8258240 9909888 12387360 16516480 19819776 24774720 33032960 49549440 99098880