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1050152680 = 235412412657
BaseRepresentation
bin111110100110000…
…000111011101000
32201012001021122201
4332212000323220
54122314341210
6252112225544
735011102423
oct7646007350
92635037581
101050152680
11499869285
1225383b2b4
13139749c25
149d6849ba
15622db53a
hex3e980ee8

1050152680 has 64 divisors (see below), whose sum is σ = 2431432080. Its totient is φ = 407961600.

The previous prime is 1050152657. The next prime is 1050152681. The reversal of 1050152680 is 862510501.

1050152680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 376127236 + 674025444 = 19394^2 + 25962^2 .

It is a super-2 number, since 2×10501526802 = 2205641302622364800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1050152681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393912 + ... + 396568.

Almost surely, 21050152680 is an apocalyptic number.

1050152680 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 1050152680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215716040).

1050152680 is an abundant number, since it is smaller than the sum of its proper divisors (1381279400).

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

1050152680 is a wasteful number, since it uses less digits than its factorization.

1050152680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 1050152680 is about 32406.0593099500. The cubic root of 1050152680 is about 1016.4456189973.

The spelling of 1050152680 in words is "one billion, fifty million, one hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 241 328 410 482 820 964 1205 1640 1928 2410 2657 4820 5314 9640 9881 10628 13285 19762 21256 26570 39524 49405 53140 79048 98810 106280 108937 197620 217874 395240 435748 544685 640337 871496 1089370 1280674 2178740 2561348 3201685 4357480 5122696 6403370 12806740 25613480 26253817 52507634 105015268 131269085 210030536 262538170 525076340 1050152680