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53073020 = 225711213241
BaseRepresentation
bin1100101001110…
…1010001111100
310200212101111102
43022131101330
5102041314040
65133312232
71213053560
oct312352174
9120771442
1053073020
1127a5a600
1215935678
13acc3070
1470976a0
1549d5515
hex329d47c

53073020 has 144 divisors (see below), whose sum is σ = 151402944. Its totient is φ = 15206400.

The previous prime is 53073019. The next prime is 53073043. The reversal of 53073020 is 2037035.

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 = 53072983 and 53073001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220100 + ... + 220340.

Almost surely, 253073020 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 53073020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75701472).

53073020 is an abundant number, since it is smaller than the sum of its proper divisors (98329924).

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

53073020 is a wasteful number, since it uses less digits than its factorization.

53073020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 53073020 is about 7285.1231973111. The cubic root of 53073020 is about 375.8010019117.

The spelling of 53073020 in words is "fifty-three million, seventy-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 241 242 260 286 308 364 385 455 482 484 572 605 715 770 847 910 964 1001 1205 1210 1430 1540 1573 1687 1694 1820 2002 2410 2420 2651 2860 3133 3146 3374 3388 4004 4235 4820 5005 5302 6266 6292 6748 7865 8435 8470 10010 10604 11011 12532 13255 15665 15730 16870 16940 18557 20020 21931 22022 26510 29161 31330 31460 33740 34463 37114 43862 44044 53020 55055 58322 62660 68926 74228 87724 92785 109655 110110 116644 137852 145805 172315 185570 204127 219310 220220 241241 291610 344630 371140 379093 408254 438620 482482 583220 689260 758186 816508 964964 1020635 1206205 1516372 1895465 2041270 2412410 2653651 3790930 4082540 4824820 5307302 7581860 10614604 13268255 26536510 53073020