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2894075136 = 28331922037
BaseRepresentation
bin1010110010000000…
…0001010100000000
321110200201020202000
42230200001110000
521411340401021
61155102024000
7131501142561
oct25440012400
97420636660
102894075136
1112556a2537
12689278000
13371777cc4
141d6512168
1511e11db26
hexac801500

2894075136 has 144 divisors (see below), whose sum is σ = 9009134400. Its totient is φ = 913876992.

The previous prime is 2894075131. The next prime is 2894075137. The reversal of 2894075136 is 6315704982.

2894075136 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

2894075136 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2894075091 and 2894075100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2894075131) 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, 120310 + ... + 142346.

It is a 1-persistent number, because it is pandigital, but 2⋅2894075136 = 5788150272 is not.

Almost surely, 22894075136 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 2894075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504567200).

2894075136 is an abundant number, since it is smaller than the sum of its proper divisors (6115059264).

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

2894075136 is a wasteful number, since it uses less digits than its factorization.

2894075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22081 (or 22061 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2894075136 is about 53796.6089637628. The cubic root of 2894075136 is about 1425.0713227460.

The spelling of 2894075136 in words is "two billion, eight hundred ninety-four million, seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1728 1824 2052 2304 2432 2736 3456 3648 4104 4864 5472 6912 7296 8208 10944 14592 16416 21888 22037 32832 43776 44074 65664 66111 88148 131328 132222 176296 198333 264444 352592 396666 418703 528888 594999 705184 793332 837406 1057776 1189998 1256109 1410368 1586664 1674812 2115552 2379996 2512218 2820736 3173328 3349624 3768327 4231104 4759992 5024436 5641472 6346656 6699248 7536654 8462208 9519984 10048872 11304981 12693312 13398496 15073308 16924416 19039968 20097744 22609962 25386624 26796992 30146616 38079936 40195488 45219924 50773248 53593984 60293232 76159872 80390976 90439848 107187968 120586464 152319744 160781952 180879696 241172928 321563904 361759392 482345856 723518784 964691712 1447037568 2894075136