Search a number
-
+
69294420 = 22335139871
BaseRepresentation
bin1000010000101…
…01100101010100
311211101112002000
410020111211110
5120214410140
610513115300
71500664356
oct410254524
9154345060
1069294420
1136129a18
121b258b30
1311482620
1492bb0d6
15613ba30
hex4215954

69294420 has 96 divisors (see below), whose sum is σ = 232189440. Its totient is φ = 17055360.

The previous prime is 69294413. The next prime is 69294439. The reversal of 69294420 is 2449296.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2085 + ... + 11955.

It is an arithmetic number, because the mean of its divisors is an integer number (2418640).

Almost surely, 269294420 is an apocalyptic number.

69294420 is a gapful number since it is divisible by the number (60) 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 69294420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116094720).

69294420 is an abundant number, since it is smaller than the sum of its proper divisors (162895020).

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

69294420 is a wasteful number, since it uses less digits than its factorization.

69294420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9902 (or 9894 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 69294420 is about 8324.3269998241. The cubic root of 69294420 is about 410.7391386383.

The spelling of 69294420 in words is "sixty-nine million, two hundred ninety-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 9871 19742 29613 39484 49355 59226 88839 98710 118452 128323 148065 177678 197420 256646 266517 296130 355356 384969 444195 513292 533034 592260 641615 769938 888390 1066068 1154907 1283230 1332585 1539876 1776780 1924845 2309814 2566460 2665170 3464721 3849690 4619628 5330340 5774535 6929442 7699380 11549070 13858884 17323605 23098140 34647210 69294420