Search a number
-
+
99924780 = 22353121733
BaseRepresentation
bin1011111010010…
…11101100101100
320222000201000210
411331023230230
5201040043110
613525422420
72322226614
oct575135454
9228021023
1099924780
115144aa6a
122956aa10
13179184b7
14d3b1a44
158b8c520
hex5f4bb2c

99924780 has 72 divisors (see below), whose sum is σ = 289272816. Its totient is φ = 25772160.

The previous prime is 99924767. The next prime is 99924787. The reversal of 99924780 is 8742999.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (99924787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56794 + ... + 58526.

It is an arithmetic number, because the mean of its divisors is an integer number (4017678).

Almost surely, 299924780 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 99924780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144636408).

99924780 is an abundant number, since it is smaller than the sum of its proper divisors (189348036).

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

99924780 is a wasteful number, since it uses less digits than its factorization.

99924780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 99924780 is about 9996.2382924778. The cubic root of 99924780 is about 464.0424740647.

The spelling of 99924780 in words is "ninety-nine million, nine hundred twenty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 961 1733 1860 1922 2883 3466 3844 4805 5199 5766 6932 8665 9610 10398 11532 14415 17330 19220 20796 25995 28830 34660 51990 53723 57660 103980 107446 161169 214892 268615 322338 537230 644676 805845 1074460 1611690 1665413 3223380 3330826 4996239 6661652 8327065 9992478 16654130 19984956 24981195 33308260 49962390 99924780