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99870540 = 223571121617
BaseRepresentation
bin1011111001111…
…10011101001100
320221220221121220
411330332131030
5201031324130
613524323340
72321612520
oct574763514
9227827556
1099870540
1151413240
1229543550
13178c98c3
14d399d80
158b7b410
hex5f3e74c

99870540 has 96 divisors (see below), whose sum is σ = 348655104. Its totient is φ = 20751360.

The previous prime is 99870523. The next prime is 99870541. The reversal of 99870540 is 4507899.

It is a super-3 number, since 3×998705403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 99870492 and 99870501.

It is not an unprimeable number, because it can be changed into a prime (99870541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6189 + ... + 15428.

It is an arithmetic number, because the mean of its divisors is an integer number (3631824).

Almost surely, 299870540 is an apocalyptic number.

It is an amenable number.

99870540 is an abundant number, since it is smaller than the sum of its proper divisors (248784564).

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

99870540 is a wasteful number, since it uses less digits than its factorization.

99870540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21647 (or 21645 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 99870540 is about 9993.5249036564. The cubic root of 99870540 is about 463.9584968328.

The spelling of 99870540 in words is "ninety-nine million, eight hundred seventy thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 21617 43234 64851 86468 108085 129702 151319 216170 237787 259404 302638 324255 432340 453957 475574 605276 648510 713361 756595 907914 951148 1188935 1297020 1426722 1513190 1664509 1815828 2269785 2377870 2853444 3026380 3329018 3566805 4539570 4755740 4993527 6658036 7133610 8322545 9079140 9987054 14267220 16645090 19974108 24967635 33290180 49935270 99870540