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2154296032 = 257173491621
BaseRepresentation
bin1000000001100111…
…1111001011100000
312120010200120120221
42000121333023200
513402444433112
6553434012424
7104246133310
oct20031771340
95503616527
102154296032
11a06053549
12501577114
1328441b7a5
14166181440
15c91dee07
hex8067f2e0

2154296032 has 96 divisors (see below), whose sum is σ = 5150174400. Its totient is φ = 865935360.

The previous prime is 2154296009. The next prime is 2154296033. The reversal of 2154296032 is 2306924512.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154296033) 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, 1328182 + ... + 1329802.

It is an arithmetic number, because the mean of its divisors is an integer number (53647650).

Almost surely, 22154296032 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 2154296032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575087200).

2154296032 is an abundant number, since it is smaller than the sum of its proper divisors (2995878368).

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

2154296032 is a wasteful number, since it uses less digits than its factorization.

2154296032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 2154296032 is about 46414.3946637247. The cubic root of 2154296032 is about 1291.5219566517.

The spelling of 2154296032 in words is "two billion, one hundred fifty-four million, two hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 349 476 544 698 952 1396 1621 1904 2443 2792 3242 3808 4886 5584 5933 6484 9772 11168 11347 11866 12968 19544 22694 23732 25936 27557 39088 41531 45388 47464 51872 55114 78176 83062 90776 94928 110228 166124 181552 189856 192899 220456 332248 363104 385798 440912 565729 664496 771596 881824 1131458 1328992 1543192 2262916 3086384 3960103 4525832 6172768 7920206 9051664 9617393 15840412 18103328 19234786 31680824 38469572 63361648 67321751 76939144 126723296 134643502 153878288 269287004 307756576 538574008 1077148016 2154296032