Search a number
-
+
1227140096 = 21071321013
BaseRepresentation
bin100100100100100…
…1010110000000000
310011112002011202012
41021021022300000
510003121440341
6321433512052
742260342630
oct11111126000
93145064665
101227140096
1157a763576
122a2b72628
13167307800
14b8d966c0
1572aec0eb
hex4924ac00

1227140096 has 132 divisors (see below), whose sum is σ = 3038763312. Its totient is φ = 484982784.

The previous prime is 1227140077. The next prime is 1227140129. The reversal of 1227140096 is 6900417221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1210886 + ... + 1211898.

Almost surely, 21227140096 is an apocalyptic number.

1227140096 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 1227140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519381656).

1227140096 is an abundant number, since it is smaller than the sum of its proper divisors (1811623216).

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

1227140096 is a wasteful number, since it uses less digits than its factorization.

1227140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1227140096 is about 35030.5594588496. The cubic root of 1227140096 is about 1070.6102135544.

The spelling of 1227140096 in words is "one billion, two hundred twenty-seven million, one hundred forty thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 169 182 208 224 256 338 364 416 448 512 676 728 832 896 1013 1024 1183 1352 1456 1664 1792 2026 2366 2704 2912 3328 3584 4052 4732 5408 5824 6656 7091 7168 8104 9464 10816 11648 13169 13312 14182 16208 18928 21632 23296 26338 28364 32416 37856 43264 46592 52676 56728 64832 75712 86528 92183 93184 105352 113456 129664 151424 171197 173056 184366 210704 226912 259328 302848 342394 368732 421408 453824 518656 605696 684788 737464 842816 907648 1037312 1198379 1211392 1369576 1474928 1685632 1815296 2396758 2739152 2949856 3371264 3630592 4793516 5478304 5899712 6742528 7261184 9587032 10956608 11799424 13485056 19174064 21913216 23598848 38348128 43826432 47197696 76696256 87652864 94395392 153392512 175305728 306785024 613570048 1227140096