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1354139680 = 25559672141
BaseRepresentation
bin101000010110110…
…1000100000100000
310111101001102102111
41100231220200200
510233124432210
6342211525104
745361666045
oct12055504040
93441042374
101354139680
11635416203
123195b9794
131877126aa
14cbbb51cc
157dd3688a
hex50b68820

1354139680 has 96 divisors (see below), whose sum is σ = 3303478080. Its totient is φ = 524282880.

The previous prime is 1354139669. The next prime is 1354139687. The reversal of 1354139680 is 869314531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1354139687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631410 + ... + 633550.

It is an arithmetic number, because the mean of its divisors is an integer number (34411230).

Almost surely, 21354139680 is an apocalyptic number.

1354139680 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 1354139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651739040).

1354139680 is an abundant number, since it is smaller than the sum of its proper divisors (1949338400).

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

1354139680 is a wasteful number, since it uses less digits than its factorization.

1354139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 1354139680 is about 36798.6369312778. The cubic root of 1354139680 is about 1106.3379791925.

The spelling of 1354139680 in words is "one billion, three hundred fifty-four million, one hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 67 80 118 134 160 236 268 295 335 472 536 590 670 944 1072 1180 1340 1888 2141 2144 2360 2680 3953 4282 4720 5360 7906 8564 9440 10705 10720 15812 17128 19765 21410 31624 34256 39530 42820 63248 68512 79060 85640 126319 126496 143447 158120 171280 252638 286894 316240 342560 505276 573788 631595 632480 717235 1010552 1147576 1263190 1434470 2021104 2295152 2526380 2868940 4042208 4590304 5052760 5737880 8463373 10105520 11475760 16926746 20211040 22951520 33853492 42316865 67706984 84633730 135413968 169267460 270827936 338534920 677069840 1354139680