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116930424 = 233132127227
BaseRepresentation
bin1101111100000…
…11011101111000
322011000200101110
412332003131320
5214413233144
615334120320
72616615012
oct676033570
9264020343
10116930424
1160005616
12331b00a0
131b2c0a00
141175b1b2
15a3eb0b9
hex6f83778

116930424 has 96 divisors (see below), whose sum is σ = 320440320. Its totient is φ = 35538048.

The previous prime is 116930423. The next prime is 116930447. The reversal of 116930424 is 424039611.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 116930391 and 116930400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116930423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514999 + ... + 515225.

It is an arithmetic number, because the mean of its divisors is an integer number (3337920).

Almost surely, 2116930424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116930424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160220160).

116930424 is an abundant number, since it is smaller than the sum of its proper divisors (203509896).

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

116930424 is a wasteful number, since it uses less digits than its factorization.

116930424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 116930424 is about 10813.4371963775. The cubic root of 116930424 is about 489.0003554683. Note that the first 3 decimals are identical.

The spelling of 116930424 in words is "one hundred sixteen million, nine hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 169 227 254 312 338 381 454 507 508 676 681 762 908 1014 1016 1352 1362 1524 1651 1816 2028 2724 2951 3048 3302 4056 4953 5448 5902 6604 8853 9906 11804 13208 17706 19812 21463 23608 28829 35412 38363 39624 42926 57658 64389 70824 76726 85852 86487 115089 115316 128778 153452 171704 172974 230178 230632 257556 306904 345948 374777 460356 515112 691896 749554 920712 1124331 1499108 2248662 2998216 4497324 4872101 8994648 9744202 14616303 19488404 29232606 38976808 58465212 116930424