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1012954096 = 247114319121
BaseRepresentation
bin111100011000000…
…111001111110000
32121121001101210101
4330120013033300
54033304012341
6244303042144
734046652640
oct7430071760
92547041711
101012954096
1147a871450
122432a0354
13131b2452b
1498760520
155ddde831
hex3c6073f0

1012954096 has 80 divisors (see below), whose sum is σ = 2503911168. Its totient is φ = 385459200.

The previous prime is 1012954051. The next prime is 1012954099. The reversal of 1012954096 is 6904592101.

1012954096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012954099) 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, 43416 + ... + 62536.

Almost surely, 21012954096 is an apocalyptic number.

1012954096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012954096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251955584).

1012954096 is an abundant number, since it is smaller than the sum of its proper divisors (1490957072).

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

1012954096 is a wasteful number, since it uses less digits than its factorization.

1012954096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19190 (or 19184 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 1012954096 is about 31826.9397837744. The cubic root of 1012954096 is about 1004.2995196374.

The spelling of 1012954096 in words is "one billion, twelve million, nine hundred fifty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 56 77 86 88 112 154 172 176 301 308 344 473 602 616 688 946 1204 1232 1892 2408 3311 3784 4816 6622 7568 13244 19121 26488 38242 52976 76484 133847 152968 210331 267694 305936 420662 535388 822203 841324 1070776 1472317 1644406 1682648 2141552 2944634 3288812 3365296 5755421 5889268 6577624 9044233 11510842 11778536 13155248 18088466 23021684 23557072 36176932 46043368 63309631 72353864 92086736 126619262 144707728 253238524 506477048 1012954096