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1067413920 = 253519117041
BaseRepresentation
bin111111100111110…
…111000110100000
32202101112020121220
4333213313012200
54141224221140
6253530215040
735310603636
oct7747670640
92671466556
101067413920
114a8588971
12259584480
131401b1891
14a1a99356
1563a9abd0
hex3f9f71a0

1067413920 has 96 divisors (see below), whose sum is σ = 3539350080. Its totient is φ = 269660160.

The previous prime is 1067413903. The next prime is 1067413927. The reversal of 1067413920 is 293147601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10674139202 = 2278744953219532800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1067413927) 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, 49401 + ... + 67640.

It is an arithmetic number, because the mean of its divisors is an integer number (36868230).

Almost surely, 21067413920 is an apocalyptic number.

1067413920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067413920 is an abundant number, since it is smaller than the sum of its proper divisors (2471936160).

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

1067413920 is a wasteful number, since it uses less digits than its factorization.

1067413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117078 (or 117070 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 1067413920 is about 32671.3011678445. The cubic root of 1067413920 is about 1021.9844488630.

The spelling of 1067413920 in words is "one billion, sixty-seven million, four hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 117041 234082 351123 468164 585205 702246 936328 1170410 1404492 1755615 1872656 2223779 2340820 2808984 3511230 3745312 4447558 4681640 5617968 6671337 7022460 8895116 9363280 11118895 11235936 13342674 14044920 17790232 18726560 22237790 26685348 28089840 33356685 35580464 44475580 53370696 56179680 66713370 71160928 88951160 106741392 133426740 177902320 213482784 266853480 355804640 533706960 1067413920