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1072676384 = 251331223373
BaseRepresentation
bin111111111011111…
…011111000100000
32202202102121100222
4333323323320200
54144101121014
6254235102212
735403412253
oct7773737040
92682377328
101072676384
1150055270a
1225b2a1968
13141304c70
14a266909a
156428a08e
hex3fefbe20

1072676384 has 96 divisors (see below), whose sum is σ = 2364493824. Its totient is φ = 475683840.

The previous prime is 1072676383. The next prime is 1072676393. The reversal of 1072676384 is 4836762701.

It is not an unprimeable number, because it can be changed into a prime (1072676383) 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, 2875622 + ... + 2875994.

It is an arithmetic number, because the mean of its divisors is an integer number (24630144).

Almost surely, 21072676384 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 1072676384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182246912).

1072676384 is an abundant number, since it is smaller than the sum of its proper divisors (1291817440).

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

1072676384 is a wasteful number, since it uses less digits than its factorization.

1072676384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 1072676384 is about 32751.7386408722. The cubic root of 1072676384 is about 1023.6611936585.

The spelling of 1072676384 in words is "one billion, seventy-two million, six hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 223 248 373 403 416 446 496 746 806 892 992 1492 1612 1784 2899 2984 3224 3568 4849 5798 5968 6448 6913 7136 9698 11563 11596 11936 12896 13826 19396 23126 23192 27652 38792 46252 46384 55304 77584 83179 89869 92504 92768 110608 150319 155168 166358 179738 185008 221216 300638 332716 359476 370016 601276 665432 718952 1081327 1202552 1330864 1437904 2162654 2405104 2578549 2661728 2875808 4325308 4810208 5157098 8650616 10314196 17301232 20628392 33521137 34602464 41256784 67042274 82513568 134084548 268169096 536338192 1072676384