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19631430 = 23357131747
BaseRepresentation
bin100101011100…
…0110101000110
31100221101021000
41022320311012
520011201210
61540434130
7325602330
oct112706506
940841230
1019631430
1110099425
1266a8946
1340b4740
142870450
151acbac0
hex12b8d46

19631430 has 256 divisors, whose sum is σ = 69672960. Its totient is φ = 3815424.

The previous prime is 19631411. The next prime is 19631519. The reversal of 19631430 is 3413691.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 19631394 and 19631403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 417667 + ... + 417713.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 219631430 is an apocalyptic number.

19631430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19631430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

19631430 is an abundant number, since it is smaller than the sum of its proper divisors (50041530).

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

19631430 is a wasteful number, since it uses less digits than its factorization.

19631430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 19631430 is about 4430.7369590171. The cubic root of 19631430 is about 269.7639912943.

It can be divided in two parts, 196 and 31430, that added together give a triangular number (31626 = T251).

The spelling of 19631430 in words is "nineteen million, six hundred thirty-one thousand, four hundred thirty".