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19942480 = 245713511
BaseRepresentation
bin100110000010…
…0110001010000
31101112011221101
41030010301100
520101124410
61551234144
7331336225
oct114046120
941464841
1019942480
1110291098
126818954
1341931ac
14291194c
151b3dd3a
hex1304c50

19942480 has 40 divisors (see below), whose sum is σ = 47032704. Its totient is φ = 7862400.

The previous prime is 19942463. The next prime is 19942487. The reversal of 19942480 is 8424991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19942487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3925 + ... + 7435.

Almost surely, 219942480 is an apocalyptic number.

19942480 is a gapful number since it is divisible by the number (10) 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 19942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23516352).

19942480 is an abundant number, since it is smaller than the sum of its proper divisors (27090224).

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

19942480 is a wasteful number, since it uses less digits than its factorization.

19942480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 19942480 is about 4465.7003929955. The cubic root of 19942480 is about 271.1812896250.

It can be divided in two parts, 19 and 942480, that multiplied together give a triangular number (17907120 = T5984).

The spelling of 19942480 in words is "nineteen million, nine hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 3511 5680 7022 14044 17555 28088 35110 56176 70220 140440 249281 280880 498562 997124 1246405 1994248 2492810 3988496 4985620 9971240 19942480