Search a number
-
+
1230749688 = 233723443719
BaseRepresentation
bin100100101011011…
…1011111111111000
310011202212120011210
41021112323333320
510010032442223
6322043123120
742333125340
oct11126737770
93152776153
101230749688
115817a9503
122a42134a0
13167c9c76c
14b9655d20
15730b1893
hex495bbff8

1230749688 has 128 divisors (see below), whose sum is σ = 3682713600. Its totient is φ = 335127936.

The previous prime is 1230749671. The next prime is 1230749699. The reversal of 1230749688 is 8869470321.

It is a congruent number.

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, 1711393 + ... + 1712111.

It is an arithmetic number, because the mean of its divisors is an integer number (28771200).

Almost surely, 21230749688 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 1230749688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841356800).

1230749688 is an abundant number, since it is smaller than the sum of its proper divisors (2451963912).

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

1230749688 is a wasteful number, since it uses less digits than its factorization.

1230749688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1230749688 is about 35082.0422438603. The cubic root of 1230749688 is about 1071.6589075022.

The spelling of 1230749688 in words is "one billion, two hundred thirty million, seven hundred forty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 443 483 552 644 719 886 966 1288 1329 1438 1772 1932 2157 2658 2876 3101 3544 3864 4314 5033 5316 5752 6202 8628 9303 10066 10189 10632 12404 15099 16537 17256 18606 20132 20378 24808 30198 30567 33074 37212 40264 40756 49611 60396 61134 66148 71323 74424 81512 99222 115759 120792 122268 132296 142646 198444 213969 231518 244536 285292 318517 347277 396888 427938 463036 570584 637034 694554 855876 926072 955551 1274068 1389108 1711752 1911102 2229619 2548136 2778216 3822204 4459238 6688857 7325891 7644408 8918476 13377714 14651782 17836952 21977673 26755428 29303564 43955346 51281237 53510856 58607128 87910692 102562474 153843711 175821384 205124948 307687422 410249896 615374844 1230749688