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99317340 = 22345101607
BaseRepresentation
bin1011110101101…
…11011001011100
320220212211210000
411322313121130
5200411123330
613504414300
72314116633
oct572673134
9226784700
1099317340
1151075651
1229317390
1317764b75
14d29451a
158abc560
hex5eb765c

99317340 has 120 divisors (see below), whose sum is σ = 315165312. Its totient is φ = 26179200.

The previous prime is 99317311. The next prime is 99317347. The reversal of 99317340 is 4371399.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 99317295 and 99317304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99317347) 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 39 ways as a sum of consecutive naturals, for example, 163317 + ... + 163923.

Almost surely, 299317340 is an apocalyptic number.

99317340 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 99317340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157582656).

99317340 is an abundant number, since it is smaller than the sum of its proper divisors (215847972).

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

99317340 is a wasteful number, since it uses less digits than its factorization.

99317340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 99317340 is about 9965.8085472279. The cubic root of 99317340 is about 463.1002617545.

It can be divided in two parts, 9931 and 7340, that added together give a palindrome (17271).

The spelling of 99317340 in words is "ninety-nine million, three hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 101 108 135 162 180 202 270 303 324 404 405 505 540 606 607 810 909 1010 1212 1214 1515 1620 1818 1821 2020 2428 2727 3030 3035 3636 3642 4545 5454 5463 6060 6070 7284 8181 9090 9105 10908 10926 12140 13635 16362 16389 18180 18210 21852 27270 27315 32724 32778 36420 40905 49167 54540 54630 61307 65556 81810 81945 98334 109260 122614 163620 163890 183921 196668 245228 245835 306535 327780 367842 491670 551763 613070 735684 919605 983340 1103526 1226140 1655289 1839210 2207052 2758815 3310578 3678420 4965867 5517630 6621156 8276445 9931734 11035260 16552890 19863468 24829335 33105780 49658670 99317340