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53670672 = 243211311093
BaseRepresentation
bin1100110010111…
…1001100010000
310201222202022200
43030233030100
5102214430142
65154203200
71221123156
oct314571420
9121882280
1053670672
1128328630
1215b83500
13b1720c3
1471b13d6
154aa264c
hex332f310

53670672 has 120 divisors (see below), whose sum is σ = 169298688. Its totient is φ = 15724800.

The previous prime is 53670671. The next prime is 53670679. The reversal of 53670672 is 27607635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53670671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48558 + ... + 49650.

Almost surely, 253670672 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 53670672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84649344).

53670672 is an abundant number, since it is smaller than the sum of its proper divisors (115628016).

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

53670672 is a wasteful number, since it uses less digits than its factorization.

53670672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 53670672 is about 7326.0270269772. The cubic root of 53670672 is about 377.2063637645.

The spelling of 53670672 in words is "fifty-three million, six hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1093 1116 1364 1488 1584 2046 2186 2232 2728 3069 3279 4092 4372 4464 5456 6138 6558 8184 8744 9837 12023 12276 13116 16368 17488 19674 24046 24552 26232 33883 36069 39348 48092 49104 52464 67766 72138 78696 96184 101649 108207 135532 144276 157392 192368 203298 216414 271064 288552 304947 372713 406596 432828 542128 577104 609894 745426 813192 865656 1118139 1219788 1490852 1626384 1731312 2236278 2439576 2981704 3354417 4472556 4879152 5963408 6708834 8945112 13417668 17890224 26835336 53670672