Search a number
-
+
78370136 = 231317192333
BaseRepresentation
bin1001010101111…
…01010101011000
312110110121121122
410222331111120
5130030321021
611435424412
71641064235
oct452752530
9173417548
1078370136
1140268709
12222b5108
131330c580
14a5a078c
156d30bab
hex4abd558

78370136 has 64 divisors (see below), whose sum is σ = 176450400. Its totient is φ = 32237568.

The previous prime is 78370121. The next prime is 78370141. The reversal of 78370136 is 63107387.

It is a super-2 number, since 2×783701362 = 12283756433316992, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 78370096 and 78370105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32426 + ... + 34758.

Almost surely, 278370136 is an apocalyptic number.

78370136 is a gapful number since it is divisible by the number (76) 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 78370136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88225200).

78370136 is an abundant number, since it is smaller than the sum of its proper divisors (98080264).

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

78370136 is a wasteful number, since it uses less digits than its factorization.

78370136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 78370136 is about 8852.6908903451. The cubic root of 78370136 is about 427.9406416065.

The spelling of 78370136 in words is "seventy-eight million, three hundred seventy thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 646 884 988 1292 1768 1976 2333 2584 4199 4666 8398 9332 16796 18664 30329 33592 39661 44327 60658 79322 88654 121316 158644 177308 242632 317288 354616 515593 576251 753559 1031186 1152502 1507118 2062372 2305004 3014236 4124744 4610008 6028472 9796267 19592534 39185068 78370136