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99687120 = 24351389359
BaseRepresentation
bin1011111000100…
…01101011010000
320221120122000120
411330101223100
5201004441440
613520350240
72320220001
oct574215320
9227518016
1099687120
11512a8455
1229475380
1317864280
14d34d1a8
158b41dd0
hex5f11ad0

99687120 has 160 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 24195072.

The previous prime is 99687073. The next prime is 99687157. The reversal of 99687120 is 2178699.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277501 + ... + 277859.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 299687120 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 99687120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

99687120 is an abundant number, since it is smaller than the sum of its proper divisors (237791280).

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

99687120 is a wasteful number, since it uses less digits than its factorization.

99687120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 99687120 is about 9984.3437440825. The cubic root of 99687120 is about 463.6742908402.

The spelling of 99687120 in words is "ninety-nine million, six hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 89 104 120 130 156 178 195 208 240 260 267 312 356 359 390 445 520 534 624 712 718 780 890 1040 1068 1077 1157 1335 1424 1436 1560 1780 1795 2136 2154 2314 2670 2872 3120 3471 3560 3590 4272 4308 4628 4667 5340 5385 5744 5785 6942 7120 7180 8616 9256 9334 10680 10770 11570 13884 14001 14360 17232 17355 18512 18668 21360 21540 23140 23335 27768 28002 28720 31951 34710 37336 43080 46280 46670 55536 56004 63902 69420 70005 74672 86160 92560 93340 95853 112008 127804 138840 140010 159755 186680 191706 224016 255608 277680 280020 319510 373360 383412 415363 479265 511216 560040 639020 766824 830726 958530 1120080 1246089 1278040 1533648 1661452 1917060 2076815 2492178 2556080 3322904 3834120 4153630 4984356 6230445 6645808 7668240 8307260 9968712 12460890 16614520 19937424 24921780 33229040 49843560 99687120