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99214740 = 22335313587
BaseRepresentation
bin1011110100111…
…10010110010100
320220200122001000
411322132112110
5200344332430
613502303300
72313211542
oct572362624
9226618030
1099214740
1151005559
1229287b30
131772a261
14d268d92
158a9be60
hex5e9e594

99214740 has 96 divisors (see below), whose sum is σ = 310181760. Its totient is φ = 26327808.

The previous prime is 99214721. The next prime is 99214747. The reversal of 99214740 is 4741299.

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

It is a junction number, because it is equal to n+sod(n) for n = 99214695 and 99214704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99214747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168727 + ... + 169313.

It is an arithmetic number, because the mean of its divisors is an integer number (3231060).

Almost surely, 299214740 is an apocalyptic number.

99214740 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 99214740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155090880).

99214740 is an abundant number, since it is smaller than the sum of its proper divisors (210967020).

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

99214740 is a wasteful number, since it uses less digits than its factorization.

99214740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 910 counting only the distinct ones).

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

The square root of 99214740 is about 9960.6596167121. The cubic root of 99214740 is about 462.9407378897.

The spelling of 99214740 in words is "ninety-nine million, two hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 313 540 587 626 939 1174 1252 1565 1761 1878 2348 2817 2935 3130 3522 3756 4695 5283 5634 5870 6260 7044 8451 8805 9390 10566 11268 11740 14085 15849 16902 17610 18780 21132 26415 28170 31698 33804 35220 42255 52830 56340 63396 79245 84510 105660 158490 169020 183731 316980 367462 551193 734924 918655 1102386 1653579 1837310 2204772 2755965 3307158 3674620 4960737 5511930 6614316 8267895 9921474 11023860 16535790 19842948 24803685 33071580 49607370 99214740