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116897280 = 293531491
BaseRepresentation
bin1101111011110…
…11011000000000
322010221222220220
412331323120000
5214411203110
615333303040
72616416253
oct675733000
9263858826
10116897280
115aa92725
1233194a80
131b2ab8b6
141174d09a
15a3e1370
hex6f7b600

116897280 has 160 divisors (see below), whose sum is σ = 386546688. Its totient is φ = 30105600.

The previous prime is 116897279. The next prime is 116897281. The reversal of 116897280 is 82798611.

It is an interprime number because it is at equal distance from previous prime (116897279) and next prime (116897281).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116897281) 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, 237835 + ... + 238325.

Almost surely, 2116897280 is an apocalyptic number.

116897280 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 116897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193273344).

116897280 is an abundant number, since it is smaller than the sum of its proper divisors (269649408).

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

116897280 is an equidigital number, since it uses as much as digits as its factorization.

116897280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 116897280 is about 10811.9045500781. The cubic root of 116897280 is about 488.9541486192.

The spelling of 116897280 in words is "one hundred sixteen million, eight hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 491 496 512 620 640 744 768 930 960 982 992 1240 1280 1473 1488 1536 1860 1920 1964 1984 2455 2480 2560 2946 2976 3720 3840 3928 3968 4910 4960 5892 5952 7365 7440 7680 7856 7936 9820 9920 11784 11904 14730 14880 15221 15712 15872 19640 19840 23568 23808 29460 29760 30442 31424 39280 39680 45663 47136 47616 58920 59520 60884 62848 76105 78560 79360 91326 94272 117840 119040 121768 125696 152210 157120 182652 188544 228315 235680 238080 243536 251392 304420 314240 365304 377088 456630 471360 487072 608840 628480 730608 754176 913260 942720 974144 1217680 1256960 1461216 1826520 1885440 1948288 2435360 2922432 3653040 3770880 3896576 4870720 5844864 7306080 7793152 9741440 11689728 14612160 19482880 23379456 29224320 38965760 58448640 116897280