Search a number
-
+
51302720 = 265737619
BaseRepresentation
bin1100001110110…
…1000101000000
310120112110002202
43003231011000
5101113141340
65031332332
71162031420
oct303550500
9116473082
1051302720
1126a60547
12152210a8
13a823351
146b56480
154785c15
hex30ed140

51302720 has 112 divisors (see below), whose sum is σ = 143621760. Its totient is φ = 17086464.

The previous prime is 51302707. The next prime is 51302723. The reversal of 51302720 is 2720315.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 51302692 and 51302701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51302723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82571 + ... + 83189.

Almost surely, 251302720 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 51302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71810880).

51302720 is an abundant number, since it is smaller than the sum of its proper divisors (92319040).

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

51302720 is a wasteful number, since it uses less digits than its factorization.

51302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 51302720 is about 7162.5917097096. The cubic root of 51302720 is about 371.5752658091.

The spelling of 51302720 in words is "fifty-one million, three hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 140 148 160 185 224 259 280 296 320 370 448 518 560 592 619 740 1036 1120 1184 1238 1295 1480 2072 2240 2368 2476 2590 2960 3095 4144 4333 4952 5180 5920 6190 8288 8666 9904 10360 11840 12380 16576 17332 19808 20720 21665 22903 24760 34664 39616 41440 43330 45806 49520 69328 82880 86660 91612 99040 114515 138656 160321 173320 183224 198080 229030 277312 320642 346640 366448 458060 641284 693280 732896 801605 916120 1282568 1386560 1465792 1603210 1832240 2565136 3206420 3664480 5130272 6412840 7328960 10260544 12825680 25651360 51302720