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1230674040 = 233354127793
BaseRepresentation
bin100100101011010…
…1001100001111000
310011202201201102000
41021112221201320
510010023032130
6322041341000
742332361651
oct11126514170
93152651360
101230674040
11581757692
122a4197760
13167c741bb
14b9636528
1573099260
hex495a9878

1230674040 has 128 divisors (see below), whose sum is σ = 4202452800. Its totient is φ = 320163840.

The previous prime is 1230674033. The next prime is 1230674083. The reversal of 1230674040 is 404760321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1230673995 and 1230674013.

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, 30384 + ... + 58176.

Almost surely, 21230674040 is an apocalyptic number.

1230674040 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 1230674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101226400).

1230674040 is an abundant number, since it is smaller than the sum of its proper divisors (2971778760).

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

1230674040 is a wasteful number, since it uses less digits than its factorization.

1230674040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27854 (or 27844 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1230674040 is about 35080.9640688508. The cubic root of 1230674040 is about 1071.6369505560.

The spelling of 1230674040 in words is "one billion, two hundred thirty million, six hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 82 90 108 120 123 135 164 180 205 216 246 270 328 360 369 410 492 540 615 738 820 984 1080 1107 1230 1476 1640 1845 2214 2460 2952 3690 4428 4920 5535 7380 8856 11070 14760 22140 27793 44280 55586 83379 111172 138965 166758 222344 250137 277930 333516 416895 500274 555860 667032 750411 833790 1000548 1111720 1139513 1250685 1500822 1667580 2001096 2279026 2501370 3001644 3335160 3418539 3752055 4558052 5002740 5697565 6003288 6837078 7504110 9116104 10005480 10255617 11395130 13674156 15008220 17092695 20511234 22790260 27348312 30016440 30766851 34185390 41022468 45580520 51278085 61533702 68370780 82044936 102556170 123067404 136741560 153834255 205112340 246134808 307668510 410224680 615337020 1230674040