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490138120 = 235791091423
BaseRepresentation
bin11101001101101…
…110101000001000
31021011021121002201
4131031232220020
52000433404440
6120345205544
715101051053
oct3515565010
91234247081
10490138120
1123174102a
121181908b4
137a711374
1449149a9a
152d06b19a
hex1d36ea08

490138120 has 64 divisors (see below), whose sum is σ = 1127808000. Its totient is φ = 191662848.

The previous prime is 490138097. The next prime is 490138147. The reversal of 490138120 is 21831094.

It is a happy 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, 343729 + ... + 345151.

It is an arithmetic number, because the mean of its divisors is an integer number (17622000).

Almost surely, 2490138120 is an apocalyptic number.

490138120 is a gapful number since it is divisible by the number (40) 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 490138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563904000).

490138120 is an abundant number, since it is smaller than the sum of its proper divisors (637669880).

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

490138120 is a wasteful number, since it uses less digits than its factorization.

490138120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 490138120 is about 22139.0632141471. The cubic root of 490138120 is about 788.4475842836.

The spelling of 490138120 in words is "four hundred ninety million, one hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 79 109 158 218 316 395 436 545 632 790 872 1090 1423 1580 2180 2846 3160 4360 5692 7115 8611 11384 14230 17222 28460 34444 43055 56920 68888 86110 112417 155107 172220 224834 310214 344440 449668 562085 620428 775535 899336 1124170 1240856 1551070 2248340 3102140 4496680 6204280 12253453 24506906 49013812 61267265 98027624 122534530 245069060 490138120