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5046120 = 23325107131
BaseRepresentation
bin10011001111111101101000
3100111100222100
4103033331220
52242433440
6300053400
760614502
oct23177550
910440870
105046120
112937252
121834260
131078a91
14954d72
1569a230
hex4cff68

5046120 has 96 divisors (see below), whose sum is σ = 16679520. Its totient is φ = 1322880.

The previous prime is 5046113. The next prime is 5046133. The reversal of 5046120 is 216405.

It is a happy number.

5046120 is a `hidden beast` number, since 50 + 4 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5046093 and 5046102.

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, 38455 + ... + 38585.

It is an arithmetic number, because the mean of its divisors is an integer number (173745).

Almost surely, 25046120 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 5046120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339760).

5046120 is an abundant number, since it is smaller than the sum of its proper divisors (11633400).

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

5046120 is a wasteful number, since it uses less digits than its factorization.

5046120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5046120 is about 2246.3570508715. The cubic root of 5046120 is about 171.5217469667.

The spelling of 5046120 in words is "five million, forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 131 180 214 262 321 360 393 428 524 535 642 655 786 856 963 1048 1070 1179 1284 1310 1572 1605 1926 1965 2140 2358 2568 2620 3144 3210 3852 3930 4280 4716 4815 5240 5895 6420 7704 7860 9432 9630 11790 12840 14017 15720 19260 23580 28034 38520 42051 47160 56068 70085 84102 112136 126153 140170 168204 210255 252306 280340 336408 420510 504612 560680 630765 841020 1009224 1261530 1682040 2523060 5046120