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2154390368 = 251321313041
BaseRepresentation
bin1000000001101001…
…0110001101100000
312120010212100222212
42000122112031200
513403010442433
6553440021252
7104250005324
oct20032261540
95503770885
102154390368
11a06108409
12501601828
13284452700
141661a7984
15c920cd48
hex80696360

2154390368 has 72 divisors (see below), whose sum is σ = 4629400776. Its totient is φ = 986419200.

The previous prime is 2154390319. The next prime is 2154390401. The reversal of 2154390368 is 8630934512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706928 + ... + 709968.

It is an arithmetic number, because the mean of its divisors is an integer number (64297233).

Almost surely, 22154390368 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 2154390368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314700388).

2154390368 is an abundant number, since it is smaller than the sum of its proper divisors (2475010408).

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

2154390368 is a wasteful number, since it uses less digits than its factorization.

2154390368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 2154390368 is about 46415.4108890571. The cubic root of 2154390368 is about 1291.5408081675.

The spelling of 2154390368 in words is "two billion, one hundred fifty-four million, three hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 131 169 208 262 338 416 524 676 1048 1352 1703 2096 2704 3041 3406 4192 5408 6082 6812 12164 13624 22139 24328 27248 39533 44278 48656 54496 79066 88556 97312 158132 177112 316264 354224 398371 513929 632528 708448 796742 1027858 1265056 1593484 2055716 3186968 4111432 5178823 6373936 8222864 10357646 12747872 16445728 20715292 41430584 67324699 82861168 134649398 165722336 269298796 538597592 1077195184 2154390368