Search a number
-
+
19137140 = 22511372351
BaseRepresentation
bin100100100000…
…0001001110100
31100000021012222
41021000021310
514344342030
61522101512
7321443261
oct111001164
940007188
1019137140
11a891020
1264aa898
133c70769
142782268
151a303e5
hex1240274

19137140 has 48 divisors (see below), whose sum is σ = 45045504. Its totient is φ = 6768000.

The previous prime is 19137109. The next prime is 19137163. The reversal of 19137140 is 4173191.

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, 6965 + ... + 9315.

It is an arithmetic number, because the mean of its divisors is an integer number (938448).

Almost surely, 219137140 is an apocalyptic number.

19137140 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 19137140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22522752).

19137140 is an abundant number, since it is smaller than the sum of its proper divisors (25908364).

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

19137140 is a wasteful number, since it uses less digits than its factorization.

19137140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 19137140 is about 4374.6016961547. The cubic root of 19137140 is about 267.4806344615.

The spelling of 19137140 in words is "nineteen million, one hundred thirty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 2351 4070 4702 8140 9404 11755 23510 25861 47020 51722 86987 103444 129305 173974 258610 347948 434935 517220 869870 956857 1739740 1913714 3827428 4784285 9568570 19137140