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1348999920 = 2436523131
BaseRepresentation
bin101000001101000…
…0001101011110000
310111000101022000000
41100122001223300
510230320444140
6341505430000
745300211242
oct12032015360
93430338000
101348999920
11632525674
1231793b300
13186633108
14cb238092
157d66da30
hex50681af0

1348999920 has 140 divisors (see below), whose sum is σ = 4702689336. Its totient is φ = 359717760.

The previous prime is 1348999907. The next prime is 1348999973. The reversal of 1348999920 is 299998431.

It is a super-3 number, since 3×13489999203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 46755 + ... + 69885.

Almost surely, 21348999920 is an apocalyptic number.

1348999920 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 1348999920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351344668).

1348999920 is an abundant number, since it is smaller than the sum of its proper divisors (3353689416).

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

1348999920 is an equidigital number, since it uses as much as digits as its factorization.

1348999920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23162 (or 23141 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 1348999920 is about 36728.7342553484. The cubic root of 1348999920 is about 1104.9364691196.

The spelling of 1348999920 in words is "one billion, three hundred forty-eight million, nine hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 23131 29160 46262 58320 69393 92524 115655 138786 185048 208179 231310 277572 346965 370096 416358 462620 555144 624537 693930 832716 925240 1040895 1110288 1249074 1387860 1665432 1850480 1873611 2081790 2498148 2775720 3122685 3330864 3747222 4163580 4996296 5551440 5620833 6245370 7494444 8327160 9368055 9992592 11241666 12490740 14988888 16654320 16862499 18736110 22483332 24981480 28104165 29977776 33724998 37472220 44966664 49962960 56208330 67449996 74944440 84312495 89933328 112416660 134899992 149888880 168624990 224833320 269799984 337249980 449666640 674499960 1348999920