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1020489696 = 253219251743
BaseRepresentation
bin111100110100110…
…110111111100000
32122010020020200200
4330310312333200
54042221132241
6245132345200
734201006422
oct7464667740
92563206620
101020489696
11484049016
12245915200
13133562475
1499762812
155e8cc4b6
hex3cd36fe0

1020489696 has 144 divisors (see below), whose sum is σ = 3071053440. Its totient is φ = 320544000.

The previous prime is 1020489661. The next prime is 1020489697. The reversal of 1020489696 is 6969840201.

It is a happy number.

1020489696 is a `hidden beast` number, since 102 + 0 + 489 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020489697) 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, 1373101 + ... + 1373843.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 21020489696 is an apocalyptic number.

1020489696 is a gapful number since it is divisible by the number (16) 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 1020489696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

1020489696 is an abundant number, since it is smaller than the sum of its proper divisors (2050563744).

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

1020489696 is a wasteful number, since it uses less digits than its factorization.

1020489696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1020489696 is about 31945.1044136656. The cubic root of 1020489696 is about 1006.7837750012.

The spelling of 1020489696 in words is "one billion, twenty million, four hundred eighty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 251 288 304 342 456 502 608 684 743 753 912 1004 1368 1486 1506 1824 2008 2229 2259 2736 2972 3012 4016 4458 4518 4769 5472 5944 6024 6687 8032 8916 9036 9538 11888 12048 13374 14117 14307 17832 18072 19076 23776 24096 26748 28234 28614 35664 36144 38152 42351 42921 53496 56468 57228 71328 72288 76304 84702 85842 106992 112936 114456 127053 152608 169404 171684 186493 213984 225872 228912 254106 338808 343368 372986 451744 457824 508212 559479 677616 686736 745972 1016424 1118958 1355232 1373472 1491944 1678437 2032848 2237916 2983888 3356874 3543367 4065696 4475832 5967776 6713748 7086734 8951664 10630101 13427496 14173468 17903328 21260202 26854992 28346936 31890303 42520404 53709984 56693872 63780606 85040808 113387744 127561212 170081616 255122424 340163232 510244848 1020489696