Search a number
-
+
54070632 = 23337113251
BaseRepresentation
bin1100111001000…
…0110101101000
310202202001222000
43032100311220
5102320230012
65210531000
71224410220
oct316206550
9122661860
1054070632
1128581080
1216136a60
13b282175
147277080
154b30ddc
hex3390d68

54070632 has 128 divisors (see below), whose sum is σ = 187315200. Its totient is φ = 14040000.

The previous prime is 54070607. The next prime is 54070657. The reversal of 54070632 is 23607045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54070607) and next prime (54070657).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54070596 and 54070605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15007 + ... + 18257.

It is an arithmetic number, because the mean of its divisors is an integer number (1463400).

Almost surely, 254070632 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 54070632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93657600).

54070632 is an abundant number, since it is smaller than the sum of its proper divisors (133244568).

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

54070632 is a wasteful number, since it uses less digits than its factorization.

54070632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 54070632 is about 7353.2735567229. The cubic root of 54070632 is about 378.1410408422.

Adding to 54070632 its reverse (23607045), we get a palindrome (77677677).

The spelling of 54070632 in words is "fifty-four million, seventy thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 3251 4158 5544 6502 8316 9753 13004 16632 19506 22757 26008 29259 35761 39012 45514 58518 68271 71522 78024 87777 91028 107283 117036 136542 143044 175554 182056 204813 214566 234072 250327 273084 286088 321849 351108 409626 429132 500654 546168 614439 643698 702216 750981 819252 858264 965547 1001308 1228878 1287396 1501962 1638504 1931094 2002616 2252943 2457756 2574792 3003924 3862188 4505886 4915512 6007848 6758829 7724376 9011772 13517658 18023544 27035316 54070632