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1013969520 = 243253833677
BaseRepresentation
bin111100011011111…
…111001001110000
32121122221222200200
4330123333021300
54034034011040
6244340515200
734061412234
oct7433771160
92548858620
101013969520
114803a5343
122436abb00
131320bb785
14989465c4
155e040630
hex3c6ff270

1013969520 has 120 divisors (see below), whose sum is σ = 3415067136. Its totient is φ = 269612544.

The previous prime is 1013969519. The next prime is 1013969521. The reversal of 1013969520 is 259693101.

It is an interprime number because it is at equal distance from previous prime (1013969519) and next prime (1013969521).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013969521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273922 + ... + 277598.

Almost surely, 21013969520 is an apocalyptic number.

1013969520 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 1013969520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707533568).

1013969520 is an abundant number, since it is smaller than the sum of its proper divisors (2401097616).

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

1013969520 is a wasteful number, since it uses less digits than its factorization.

1013969520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1013969520 is about 31842.8880599735. Note that the first 3 decimals coincide. The cubic root of 1013969520 is about 1004.6349903398.

The spelling of 1013969520 in words is "one billion, thirteen million, nine hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 383 720 766 1149 1532 1915 2298 3064 3447 3677 3830 4596 5745 6128 6894 7354 7660 9192 11031 11490 13788 14708 15320 17235 18384 18385 22062 22980 27576 29416 30640 33093 34470 36770 44124 45960 55152 55155 58832 66186 68940 73540 88248 91920 110310 132372 137880 147080 165465 176496 220620 264744 275760 294160 330930 441240 529488 661860 882480 1323720 1408291 2647440 2816582 4224873 5633164 7041455 8449746 11266328 12674619 14082910 16899492 21124365 22532656 25349238 28165820 33798984 42248730 50698476 56331640 63373095 67597968 84497460 101396952 112663280 126746190 168994920 202793904 253492380 337989840 506984760 1013969520