Search a number
-
+
46272120 = 2335715431
BaseRepresentation
bin1011000010000…
…0111001111000
310020001212102020
42300200321320
543321201440
64331434440
71101210066
oct260407170
9106055366
1046272120
1124134a24
12135b5a20
13978166b
146207036
1540e03d0
hex2c20e78

46272120 has 64 divisors (see below), whose sum is σ = 140797440. Its totient is φ = 12163200.

The previous prime is 46272097. The next prime is 46272133. The reversal of 46272120 is 2127264.

It is a super-2 number, since 2×462721202 = 4282218178588800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5805 + ... + 11235.

It is an arithmetic number, because the mean of its divisors is an integer number (2199960).

Almost surely, 246272120 is an apocalyptic number.

46272120 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 46272120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70398720).

46272120 is an abundant number, since it is smaller than the sum of its proper divisors (94525320).

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

46272120 is a wasteful number, since it uses less digits than its factorization.

46272120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 46272120 is about 6802.3613547062. The cubic root of 46272120 is about 359.0099339538.

Adding to 46272120 its reverse (2127264), we get a palindrome (48399384).

The spelling of 46272120 in words is "forty-six million, two hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 5431 8520 10862 16293 21724 27155 32586 43448 54310 65172 81465 108620 130344 162930 217240 325860 385601 651720 771202 1156803 1542404 1928005 2313606 3084808 3856010 4627212 5784015 7712020 9254424 11568030 15424040 23136060 46272120