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1380691032 = 233723313547
BaseRepresentation
bin101001001001011…
…1010110001011000
310120020000101000220
41102102322301120
510311424103112
6345001000040
746133452200
oct12222726130
93506011026
101380691032
11649400676
12326483020
1319007aa56
14d1527400
158132d98c
hex524bac58

1380691032 has 96 divisors (see below), whose sum is σ = 4028541120. Its totient is φ = 393180480.

The previous prime is 1380691021. The next prime is 1380691049. The reversal of 1380691032 is 2301960831.

It is a junction number, because it is equal to n+sod(n) for n = 1380690984 and 1380691002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387483 + ... + 391029.

It is an arithmetic number, because the mean of its divisors is an integer number (41963970).

Almost surely, 21380691032 is an apocalyptic number.

1380691032 is a gapful number since it is divisible by the number (12) 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 1380691032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014270560).

1380691032 is an abundant number, since it is smaller than the sum of its proper divisors (2647850088).

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

1380691032 is a wasteful number, since it uses less digits than its factorization.

1380691032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1380691032 is about 37157.6510560073. The cubic root of 1380691032 is about 1113.5220840852.

The spelling of 1380691032 in words is "one billion, three hundred eighty million, six hundred ninety-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 331 392 588 662 993 1176 1324 1986 2317 2648 3547 3972 4634 6951 7094 7944 9268 10641 13902 14188 16219 18536 21282 24829 27804 28376 32438 42564 48657 49658 55608 64876 74487 85128 97314 99316 129752 148974 173803 194628 198632 297948 347606 389256 521409 595896 695212 1042818 1174057 1390424 2085636 2348114 3522171 4171272 4696228 7044342 8218399 9392456 14088684 16436798 24655197 28177368 32873596 49310394 57528793 65747192 98620788 115057586 172586379 197241576 230115172 345172758 460230344 690345516 1380691032