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1339082928 = 24341760779
BaseRepresentation
bin100111111010000…
…1100100010110000
310110022201110110000
41033310030202300
510220301123203
6340513110000
745120005601
oct11764144260
93408643400
101339082928
11627971907
12314558300
13184570281
14c9bb5da8
157c8604a3
hex4fd0c8b0

1339082928 has 100 divisors (see below), whose sum is σ = 4103744040. Its totient is φ = 420097536.

The previous prime is 1339082923. The next prime is 1339082981. The reversal of 1339082928 is 8292809331.

It is a super-2 number, since 2×13390829282 = 3586286176122106368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1339082923) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8358 + ... + 52421.

Almost surely, 21339082928 is an apocalyptic number.

1339082928 is a gapful number since it is divisible by the number (18) 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 1339082928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051872020).

1339082928 is an abundant number, since it is smaller than the sum of its proper divisors (2764661112).

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

1339082928 is a wasteful number, since it uses less digits than its factorization.

1339082928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60816 (or 60801 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1339082928 is about 36593.4820425715. The cubic root of 1339082928 is about 1102.2222096184. Note that the first 4 decimals are identical.

The spelling of 1339082928 in words is "one billion, three hundred thirty-nine million, eighty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 22032 60779 121558 182337 243116 364674 486232 547011 729348 972464 1033243 1094022 1458696 1641033 2066486 2188044 2917392 3099729 3282066 4132972 4376088 4923099 6199458 6564132 8265944 8752176 9299187 9846198 12398916 13128264 16531888 18598374 19692396 24797832 26256528 27897561 37196748 39384792 49595664 55795122 74393496 78769584 83692683 111590244 148786992 167385366 223180488 334770732 446360976 669541464 1339082928