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1021240640 = 26571632797
BaseRepresentation
bin111100110111101…
…110010101000000
32122011122101210102
4330313232111000
54042414200030
6245200421532
734210254650
oct7467562500
92564571712
101021240640
11484511232
122460178a8
13133766204
14998ba360
155e9c9c45
hex3cdee540

1021240640 has 112 divisors (see below), whose sum is σ = 2797283712. Its totient is φ = 347867136.

The previous prime is 1021240637. The next prime is 1021240651. The reversal of 1021240640 is 460421201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363722 + ... + 366518.

Almost surely, 21021240640 is an apocalyptic number.

1021240640 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 1021240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398641856).

1021240640 is an abundant number, since it is smaller than the sum of its proper divisors (1776043072).

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

1021240640 is a wasteful number, since it uses less digits than its factorization.

1021240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1021240640 is about 31956.8559154370. The cubic root of 1021240640 is about 1007.0306672093.

Adding to 1021240640 its reverse (460421201), we get a palindrome (1481661841).

The spelling of 1021240640 in words is "one billion, twenty-one million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 163 224 280 320 326 448 560 652 815 1120 1141 1304 1630 2240 2282 2608 2797 3260 4564 5216 5594 5705 6520 9128 10432 11188 11410 13040 13985 18256 19579 22376 22820 26080 27970 36512 39158 44752 45640 52160 55940 73024 78316 89504 91280 97895 111880 156632 179008 182560 195790 223760 313264 365120 391580 447520 455911 626528 783160 895040 911822 1253056 1566320 1823644 2279555 3132640 3191377 3647288 4559110 6265280 6382754 7294576 9118220 12765508 14589152 15956885 18236440 25531016 29178304 31913770 36472880 51062032 63827540 72945760 102124064 127655080 145891520 204248128 255310160 510620320 1021240640