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2681329400 = 235219705613
BaseRepresentation
bin1001111111010001…
…1101011011111000
320220212101122110022
42133310131123320
520442410020100
61122022110012
7123305631611
oct23764353370
96825348408
102681329400
1111565a4512
12629b7b308
1333967a459
141b6172c08
1510a5e7e85
hex9fd1d6f8

2681329400 has 48 divisors (see below), whose sum is σ = 6562210200. Its totient is φ = 1016081280.

The previous prime is 2681329333. The next prime is 2681329411. The reversal of 2681329400 is 49231862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 349007 + ... + 356606.

Almost surely, 22681329400 is an apocalyptic number.

2681329400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2681329400 is an abundant number, since it is smaller than the sum of its proper divisors (3880880800).

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

2681329400 is a wasteful number, since it uses less digits than its factorization.

2681329400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705648 (or 705639 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2681329400 is about 51781.5546309687. The cubic root of 2681329400 is about 1389.2595473180.

The spelling of 2681329400 in words is "two billion, six hundred eighty-one million, three hundred twenty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 705613 1411226 2822452 3528065 5644904 7056130 13406647 14112260 17640325 26813294 28224520 35280650 53626588 67033235 70561300 107253176 134066470 141122600 268132940 335166175 536265880 670332350 1340664700 2681329400