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1077988032 = 263211215467
BaseRepresentation
bin100000001000000…
…1100101011000000
32210010102110120200
41000100030223000
54201431104112
6254545005200
735466514152
oct10020145300
92703373520
101077988032
11503550400
12261023800
13142444854
14a324cad2
1564988cdc
hex4040cac0

1077988032 has 126 divisors (see below), whose sum is σ = 3396509844. Its totient is φ = 326641920.

The previous prime is 1077988019. The next prime is 1077988033. The reversal of 1077988032 is 2308897701.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1077988033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61963 + ... + 77429.

Almost surely, 21077988032 is an apocalyptic number.

1077988032 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 1077988032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698254922).

1077988032 is an abundant number, since it is smaller than the sum of its proper divisors (2318521812).

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

1077988032 is a wasteful number, since it uses less digits than its factorization.

1077988032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15507 (or 15483 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1077988032 is about 32832.7280621029. The cubic root of 1077988032 is about 1025.3480577242.

The spelling of 1077988032 in words is "one billion, seventy-seven million, nine hundred eighty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 132 144 176 192 198 242 264 288 352 363 396 484 528 576 704 726 792 968 1056 1089 1452 1584 1936 2112 2178 2904 3168 3872 4356 5808 6336 7744 8712 11616 15467 17424 23232 30934 34848 46401 61868 69696 92802 123736 139203 170137 185604 247472 278406 340274 371208 494944 510411 556812 680548 742416 989888 1020822 1113624 1361096 1484832 1531233 1871507 2041644 2227248 2722192 2969664 3062466 3743014 4083288 4454496 5444384 5614521 6124932 7486028 8166576 8908992 10888768 11229042 12249864 14972056 16333152 16843563 22458084 24499728 29944112 32666304 33687126 44916168 48999456 59888224 67374252 89832336 97998912 119776448 134748504 179664672 269497008 359329344 538994016 1077988032