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1020098664 = 2333132912527
BaseRepresentation
bin111100110011010…
…111100001101000
32122002111101022000
4330303113201220
54042121124124
6245120131000
734164460404
oct7463274150
92562441260
101020098664
11483901252
12245766a60
131334564a0
14996a0104
155e8516c9
hex3ccd7868

1020098664 has 128 divisors (see below), whose sum is σ = 3157056000. Its totient is φ = 303028992.

The previous prime is 1020098641. The next prime is 1020098689. The reversal of 1020098664 is 4668900201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75169 + ... + 87695.

It is an arithmetic number, because the mean of its divisors is an integer number (24664500).

Almost surely, 21020098664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020098664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578528000).

1020098664 is an abundant number, since it is smaller than the sum of its proper divisors (2136957336).

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

1020098664 is a wasteful number, since it uses less digits than its factorization.

1020098664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12584 (or 12574 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1020098664 is about 31938.9834528277. The cubic root of 1020098664 is about 1006.6551651879.

Adding to 1020098664 its reverse (4668900201), we get a palindrome (5688998865).

The spelling of 1020098664 in words is "one billion, twenty million, ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 29 36 39 52 54 58 72 78 87 104 108 116 117 156 174 216 232 234 261 312 348 351 377 468 522 696 702 754 783 936 1044 1131 1404 1508 1566 2088 2262 2808 3016 3132 3393 4524 6264 6786 9048 10179 12527 13572 20358 25054 27144 37581 40716 50108 75162 81432 100216 112743 150324 162851 225486 300648 325702 338229 363283 450972 488553 651404 676458 726566 901944 977106 1089849 1302808 1352916 1453132 1465659 1954212 2179698 2705832 2906264 2931318 3269547 3908424 4359396 4396977 4722679 5862636 6539094 8718792 8793954 9445358 9808641 11725272 13078188 14168037 17587908 18890716 19617282 26156376 28336074 35175816 37781432 39234564 42504111 56672148 78469128 85008222 113344296 127512333 170016444 255024666 340032888 510049332 1020098664