Search a number
-
+
99242910 = 232513271313
BaseRepresentation
bin1011110101001…
…01001110011110
320220202001200100
411322211032132
5200401233120
613503041530
72313356634
oct572451636
9226661610
1099242910
1151024738
12292a02a6
131773a020
14d275354
158aa5490
hex5ea539e

99242910 has 96 divisors (see below), whose sum is σ = 279796608. Its totient is φ = 24261120.

The previous prime is 99242893. The next prime is 99242929. The reversal of 99242910 is 1924299.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316914 + ... + 317226.

It is an arithmetic number, because the mean of its divisors is an integer number (2914548).

Almost surely, 299242910 is an apocalyptic number.

99242910 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99242910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139898304).

99242910 is an abundant number, since it is smaller than the sum of its proper divisors (180553698).

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

99242910 is a wasteful number, since it uses less digits than its factorization.

99242910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99242910 is about 9962.0735793308. The cubic root of 99242910 is about 462.9845479343.

The spelling of 99242910 in words is "ninety-nine million, two hundred forty-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 271 313 390 542 585 626 813 939 1170 1355 1565 1626 1878 2439 2710 2817 3130 3523 4065 4069 4695 4878 5634 7046 8130 8138 9390 10569 12195 12207 14085 17615 20345 21138 24390 24414 28170 31707 35230 36621 40690 52845 61035 63414 73242 84823 105690 122070 158535 169646 183105 254469 317070 366210 424115 508938 763407 848230 1102699 1272345 1526814 2205398 2544690 3308097 3817035 5513495 6616194 7634070 9924291 11026990 16540485 19848582 33080970 49621455 99242910