Search a number
-
+
1077396372 = 22321312718127
BaseRepresentation
bin100000000110111…
…1100001110010100
32210002022101222100
41000031330032110
54201303140442
6254524202100
735461501203
oct10015741624
92702271870
101077396372
11503186928
12260999330
13142298460
14a313723a
15648bd84c
hex4037c394

1077396372 has 72 divisors (see below), whose sum is σ = 2956169216. Its totient is φ = 328878144.

The previous prime is 1077396343. The next prime is 1077396373. The reversal of 1077396372 is 2736937701.

1077396372 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 3 + 9 + 637 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077396373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50373 + ... + 68499.

Almost surely, 21077396372 is an apocalyptic number.

1077396372 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 1077396372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478084608).

1077396372 is an abundant number, since it is smaller than the sum of its proper divisors (1878772844).

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

1077396372 is a wasteful number, since it uses less digits than its factorization.

1077396372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18277 (or 18272 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 1077396372 is about 32823.7166085744. The cubic root of 1077396372 is about 1025.1604339792.

The spelling of 1077396372 in words is "one billion, seventy-seven million, three hundred ninety-six thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 381 468 508 762 1143 1524 1651 2286 3302 4572 4953 6604 9906 14859 18127 19812 29718 36254 54381 59436 72508 108762 163143 217524 235651 326286 471302 652572 706953 942604 1413906 2120859 2302129 2827812 4241718 4604258 6906387 8483436 9208516 13812774 20719161 27625548 29927677 41438322 59855354 82876644 89783031 119710708 179566062 269349093 359132124 538698186 1077396372