[go: up one dir, main page]

Search a number
-
+
19429704 = 23327192029
BaseRepresentation
bin100101000011…
…1100101001000
31100120010112200
41022013211020
514433222304
61532240200
7324102240
oct112074510
940503480
1019429704
11aa70908
126610060
134043988
14281ab20
151a8be39
hex1287948

19429704 has 96 divisors (see below), whose sum is σ = 63336000. Its totient is φ = 5256576.

The previous prime is 19429667. The next prime is 19429717. The reversal of 19429704 is 40792491.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8562 + ... + 10590.

It is an arithmetic number, because the mean of its divisors is an integer number (659750).

Almost surely, 219429704 is an apocalyptic number.

19429704 is a gapful number since it is divisible by the number (14) 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 19429704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31668000).

19429704 is an abundant number, since it is smaller than the sum of its proper divisors (43906296).

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

19429704 is a wasteful number, since it uses less digits than its factorization.

19429704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19429704 is about 4407.9137922605. The cubic root of 19429704 is about 268.8368067158.

The spelling of 19429704 in words is "nineteen million, four hundred twenty-nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2029 2394 3192 4058 4788 6087 8116 9576 12174 14203 16232 18261 24348 28406 36522 38551 42609 48696 56812 73044 77102 85218 113624 115653 127827 146088 154204 170436 231306 255654 269857 308408 340872 346959 462612 511308 539714 693918 809571 925224 1022616 1079428 1387836 1619142 2158856 2428713 2775672 3238284 4857426 6476568 9714852 19429704