Search a number
-
+
151084416 = 273756207
BaseRepresentation
bin10010000000101…
…01110110000000
3101112021212212010
421000111312000
5302134200131
622554132520
73513124230
oct1100256600
9345255763
10151084416
1178312a5a
1242721140
13253bb682
14160cbcc0
15d3e5b46
hex9015d80

151084416 has 64 divisors (see below), whose sum is σ = 458657280. Its totient is φ = 43166208.

The previous prime is 151084411. The next prime is 151084429. The reversal of 151084416 is 614480151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1510844162 = 45653001516122112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151084411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25416 + ... + 30791.

It is an arithmetic number, because the mean of its divisors is an integer number (7166520).

Almost surely, 2151084416 is an apocalyptic number.

151084416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151084416 is an abundant number, since it is smaller than the sum of its proper divisors (307572864).

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

151084416 is an equidigital number, since it uses as much as digits as its factorization.

151084416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56231 (or 56219 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 151084416 is about 12291.6400858470. The cubic root of 151084416 is about 532.6066157833.

The spelling of 151084416 in words is "one hundred fifty-one million, eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 56207 112414 168621 224828 337242 393449 449656 674484 786898 899312 1180347 1348968 1573796 1798624 2360694 2697936 3147592 3597248 4721388 5395872 6295184 7194496 9442776 10791744 12590368 18885552 21583488 25180736 37771104 50361472 75542208 151084416