Search a number
-
+
1377678096 = 2432171513727
BaseRepresentation
bin101001000011101…
…1011001100010000
310120000100022001200
41102013123030100
510310141144341
6344412231200
746066033134
oct12207331420
93500308050
101377678096
11647732a43
1232546b500
1318c564552
14d0d813c4
1580e35db6
hex521db310

1377678096 has 120 divisors (see below), whose sum is σ = 4110522624. Its totient is φ = 429235200.

The previous prime is 1377678047. The next prime is 1377678097. The reversal of 1377678096 is 6908767731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377678097) 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, 367785 + ... + 371511.

Almost surely, 21377678096 is an apocalyptic number.

1377678096 is a gapful number since it is divisible by the number (16) 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 1377678096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055261312).

1377678096 is an abundant number, since it is smaller than the sum of its proper divisors (2732844528).

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

1377678096 is a wasteful number, since it uses less digits than its factorization.

1377678096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 1377678096 is about 37117.0863080603. The cubic root of 1377678096 is about 1112.7115203751.

The spelling of 1377678096 in words is "one billion, three hundred seventy-seven million, six hundred seventy-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 151 153 204 272 302 306 408 453 604 612 816 906 1208 1224 1359 1812 2416 2448 2567 2718 3624 3727 5134 5436 7248 7454 7701 10268 10872 11181 14908 15402 20536 21744 22362 23103 29816 30804 33543 41072 44724 46206 59632 61608 63359 67086 89448 92412 123216 126718 134172 178896 184824 190077 253436 268344 369648 380154 506872 536688 562777 570231 760308 1013744 1125554 1140462 1520616 1688331 2251108 2280924 3041232 3376662 4502216 4561848 5064993 6753324 9004432 9123696 9567209 10129986 13506648 19134418 20259972 27013296 28701627 38268836 40519944 57403254 76537672 81039888 86104881 114806508 153075344 172209762 229613016 344419524 459226032 688839048 1377678096