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1023465690 = 232513267289
BaseRepresentation
bin111101000000001…
…101100011011010
32122022211102222200
4331000031203122
54044001400230
6245320231030
734235212662
oct7500154332
92568742880
101023465690
114857a0a15
1224690b476
13134064c00
1499cd91a2
155ecb9160
hex3d00d8da

1023465690 has 72 divisors (see below), whose sum is σ = 2881492380. Its totient is φ = 251926272.

The previous prime is 1023465689. The next prime is 1023465691. The reversal of 1023465690 is 965643201.

It is a happy number.

1023465690 is a `hidden beast` number, since 102 + 3 + 465 + 6 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (1023465689) and next prime (1023465691).

It can be written as a sum of positive squares in 6 ways, for example, as 5919489 + 1017546201 = 2433^2 + 31899^2 .

It is a super-2 number, since 2×10234656902 = 2094964037214352200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1023465691) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18435 + ... + 48854.

Almost surely, 21023465690 is an apocalyptic number.

1023465690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1023465690 is an abundant number, since it is smaller than the sum of its proper divisors (1858026690).

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

1023465690 is a wasteful number, since it uses less digits than its factorization.

1023465690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67328 (or 67312 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1023465690 is about 31991.6503169186. The cubic root of 1023465690 is about 1007.7614999323.

The spelling of 1023465690 in words is "one billion, twenty-three million, four hundred sixty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1521 1690 2535 3042 5070 7605 15210 67289 134578 201867 336445 403734 605601 672890 874757 1009335 1211202 1749514 2018670 2624271 3028005 4373785 5248542 6056010 7872813 8747570 11371841 13121355 15745626 22743682 26242710 34115523 39364065 56859205 68231046 78728130 102346569 113718410 170577615 204693138 341155230 511732845 1023465690