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10053720 = 2334529107
BaseRepresentation
bin100110010110…
…100001011000
3200220210010000
4212112201120
510033204340
6555253000
7151312065
oct46264130
920823100
1010053720
115747566
12344a160
132110161
141499c6c
15d38d30
hex996858

10053720 has 160 divisors (see below), whose sum is σ = 35283600. Its totient is φ = 2564352.

The previous prime is 10053713. The next prime is 10053739. The reversal of 10053720 is 2735001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10053693 and 10053702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93907 + ... + 94013.

Almost surely, 210053720 is an apocalyptic number.

10053720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641800).

10053720 is an abundant number, since it is smaller than the sum of its proper divisors (25229880).

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

10053720 is a wasteful number, since it uses less digits than its factorization.

10053720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10053720 is about 3170.7601612232. The cubic root of 10053720 is about 215.8285676793.

Adding to 10053720 its reverse (2735001), we get a palindrome (12788721).

The spelling of 10053720 in words is "ten million, fifty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 107 108 116 120 135 145 162 174 180 214 216 232 261 270 290 321 324 348 360 405 428 435 522 535 540 580 642 648 696 783 810 856 870 963 1044 1070 1080 1160 1284 1305 1566 1605 1620 1740 1926 2088 2140 2349 2568 2610 2889 3103 3132 3210 3240 3480 3852 3915 4280 4698 4815 5220 5778 6206 6264 6420 7704 7830 8667 9309 9396 9630 10440 11556 11745 12412 12840 14445 15515 15660 17334 18618 18792 19260 23112 23490 24824 27927 28890 31030 31320 34668 37236 38520 43335 46545 46980 55854 57780 62060 69336 74472 83781 86670 93090 93960 111708 115560 124120 139635 167562 173340 186180 223416 251343 279270 335124 346680 372360 418905 502686 558540 670248 837810 1005372 1117080 1256715 1675620 2010744 2513430 3351240 5026860 10053720