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1250753140 = 2257132113257
BaseRepresentation
bin100101010001100…
…1111101001110100
310020011111211202101
41022203033221310
510030143100030
6324035551444
742665140420
oct11243175164
93204454671
101250753140
1159202138a
122aaa5b584
1316c184620
14bc181b80
1574c137ca
hex4a8cfa74

1250753140 has 96 divisors (see below), whose sum is σ = 3249033984. Its totient is φ = 393845760.

The previous prime is 1250753131. The next prime is 1250753167. The reversal of 1250753140 is 413570521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1250753099 and 1250753108.

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, 382392 + ... + 385648.

It is an arithmetic number, because the mean of its divisors is an integer number (33844104).

Almost surely, 21250753140 is an apocalyptic number.

1250753140 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 1250753140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624516992).

1250753140 is an abundant number, since it is smaller than the sum of its proper divisors (1998280844).

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

1250753140 is a wasteful number, since it uses less digits than its factorization.

1250753140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 1250753140 is about 35365.9884634941. The cubic root of 1250753140 is about 1077.4336470392.

The spelling of 1250753140 in words is "one billion, two hundred fifty million, seven hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 211 260 364 422 455 844 910 1055 1477 1820 2110 2743 2954 3257 4220 5486 5908 6514 7385 10972 13028 13715 14770 16285 19201 22799 27430 29540 32570 38402 42341 45598 54860 65140 76804 84682 91196 96005 113995 169364 192010 211705 227990 296387 384020 423410 455980 592774 687227 846820 1185548 1374454 1481935 2748908 2963870 3436135 4810589 5927740 6872270 8933951 9621178 13744540 17867902 19242356 24052945 35735804 44669755 48105890 62537657 89339510 96211780 125075314 178679020 250150628 312688285 625376570 1250753140