Search a number
-
+
4192920 = 2332519613
BaseRepresentation
bin1111111111101010011000
321220000121100
433333222120
52033133140
6225511400
750432154
oct17775230
97800540
104192920
112404226
1214a2560
13b3a624
147b2064
1557c530
hex3ffa98

4192920 has 96 divisors (see below), whose sum is σ = 14367600. Its totient is φ = 1057536.

The previous prime is 4192919. The next prime is 4192943. The reversal of 4192920 is 292914.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6534 + ... + 7146.

Almost surely, 24192920 is an apocalyptic number.

4192920 is a gapful number since it is divisible by the number (40) 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 4192920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183800).

4192920 is an abundant number, since it is smaller than the sum of its proper divisors (10174680).

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

4192920 is a wasteful number, since it uses less digits than its factorization.

4192920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4192920 is about 2047.6620814968. The cubic root of 4192920 is about 161.2521542889.

The spelling of 4192920 in words is "four million, one hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 613 684 760 855 1140 1226 1368 1710 1839 2280 2452 3065 3420 3678 4904 5517 6130 6840 7356 9195 11034 11647 12260 14712 18390 22068 23294 24520 27585 34941 36780 44136 46588 55170 58235 69882 73560 93176 104823 110340 116470 139764 174705 209646 220680 232940 279528 349410 419292 465880 524115 698820 838584 1048230 1397640 2096460 4192920