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90419430 = 23517210429
BaseRepresentation
bin1010110001110…
…11000011100110
320022010210010210
411120323003212
5141121410210
612550000250
72145360333
oct530730346
9208123123
1090419430
1147048502
1226346086
131596ab2a
14c01998a
157e10e20
hex563b0e6

90419430 has 48 divisors (see below), whose sum is σ = 230544720. Its totient is φ = 22691328.

The previous prime is 90419429. The next prime is 90419437. The reversal of 90419430 is 3491409.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90419437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3456 + ... + 13884.

It is an arithmetic number, because the mean of its divisors is an integer number (4803015).

Almost surely, 290419430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90419430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115272360).

90419430 is an abundant number, since it is smaller than the sum of its proper divisors (140125290).

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

90419430 is a wasteful number, since it uses less digits than its factorization.

90419430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 90419430 is about 9508.9131871103. The cubic root of 90419430 is about 448.8355573297.

The spelling of 90419430 in words is "ninety million, four hundred nineteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2890 4335 8670 10429 20858 31287 52145 62574 104290 156435 177293 312870 354586 531879 886465 1063758 1772930 2659395 3013981 5318790 6027962 9041943 15069905 18083886 30139810 45209715 90419430