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51432420 = 223513233283
BaseRepresentation
bin1100010000110…
…0101111100100
310120210001000110
43010030233210
5101131314140
65034213020
71163111514
oct304145744
9116701013
1051432420
1127039a36
1215284170
13a86a3b0
146b8b844
1547ae380
hex310cbe4

51432420 has 96 divisors (see below), whose sum is σ = 156304512. Its totient is φ = 12561408.

The previous prime is 51432391. The next prime is 51432431. The reversal of 51432420 is 2423415.

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, 181599 + ... + 181881.

It is an arithmetic number, because the mean of its divisors is an integer number (1628172).

Almost surely, 251432420 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 51432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78152256).

51432420 is an abundant number, since it is smaller than the sum of its proper divisors (104872092).

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

51432420 is a wasteful number, since it uses less digits than its factorization.

51432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 51432420 is about 7171.6399798094. The cubic root of 51432420 is about 371.8881326248. Note that the first 3 decimals are identical.

Adding to 51432420 its reverse (2423415), we get a palindrome (53855835).

The spelling of 51432420 in words is "fifty-one million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 233 260 283 390 466 566 699 780 849 932 1132 1165 1398 1415 1698 2330 2796 2830 3029 3396 3495 3679 4245 4660 5660 6058 6990 7358 8490 9087 11037 12116 13980 14716 15145 16980 18174 18395 22074 30290 36348 36790 44148 45435 55185 60580 65939 73580 90870 110370 131878 181740 197817 220740 263756 329695 395634 659390 791268 857207 989085 1318780 1714414 1978170 2571621 3428828 3956340 4286035 5143242 8572070 10286484 12858105 17144140 25716210 51432420