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1025235640 = 23511131511187
BaseRepresentation
bin111101000110111…
…101101010111000
32122110011100220101
4331012331222320
54044430020030
6245422205144
734256234122
oct7506755270
92573140811
101025235640
1148679a790
122474237b4
13134534710
149a23a212
15600187ca
hex3d1bdab8

1025235640 has 128 divisors (see below), whose sum is σ = 2730309120. Its totient is φ = 341568000.

The previous prime is 1025235593. The next prime is 1025235661. The reversal of 1025235640 is 465325201.

It is a super-2 number, since 2×10252356402 = 2102216235052419200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1025235599 and 1025235608.

It is a congruent number.

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, 863127 + ... + 864313.

It is an arithmetic number, because the mean of its divisors is an integer number (21330540).

Almost surely, 21025235640 is an apocalyptic number.

1025235640 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 1025235640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365154560).

1025235640 is an abundant number, since it is smaller than the sum of its proper divisors (1705073480).

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

1025235640 is a wasteful number, since it uses less digits than its factorization.

1025235640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1025235640 is about 32019.3010542079. The cubic root of 1025235640 is about 1008.3420959252.

The spelling of 1025235640 in words is "one billion, twenty-five million, two hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 151 220 260 286 302 440 520 572 604 715 755 1144 1187 1208 1430 1510 1661 1963 2374 2860 3020 3322 3926 4748 5720 5935 6040 6644 7852 8305 9496 9815 11870 13057 13288 15431 15704 16610 19630 21593 23740 26114 30862 33220 39260 43186 47480 52228 61724 65285 66440 77155 78520 86372 104456 107965 123448 130570 154310 169741 172744 179237 215930 261140 308620 339482 358474 431860 522280 617240 678964 716948 848705 863720 896185 1357928 1433896 1697410 1792370 1971607 2330081 3394820 3584740 3943214 4660162 6789640 7169480 7886428 9320324 9858035 11650405 15772856 18640648 19716070 23300810 25630891 39432140 46601620 51261782 78864280 93203240 102523564 128154455 205047128 256308910 512617820 1025235640