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101490240 = 2635711489
BaseRepresentation
bin1100000110010…
…01111001000000
321001222020102210
412003021321000
5201440141430
614023142120
72341436625
oct603117100
9231866383
10101490240
115231a135
1229ba4940
1318045bc7
14d69c34c
158d9b2b0
hex60c9e40

101490240 has 112 divisors (see below), whose sum is σ = 326989440. Its totient is φ = 26664960.

The previous prime is 101490239. The next prime is 101490241. The reversal of 101490240 is 42094101.

101490240 = T212 + T213 + ... + T851.

It is an interprime number because it is at equal distance from previous prime (101490239) and next prime (101490241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101490241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67416 + ... + 68904.

Almost surely, 2101490240 is an apocalyptic number.

101490240 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 101490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163494720).

101490240 is an abundant number, since it is smaller than the sum of its proper divisors (225499200).

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

101490240 is a wasteful number, since it uses less digits than its factorization.

101490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101490240 is about 10074.2364474932. The cubic root of 101490240 is about 466.4532175780.

The spelling of 101490240 in words is "one hundred one million, four hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1489 1704 2130 2272 2840 2978 3408 4260 4467 4544 5680 5956 6816 7445 8520 8934 11360 11912 13632 14890 17040 17868 22335 22720 23824 29780 34080 35736 44670 47648 59560 68160 71472 89340 95296 105719 119120 142944 178680 211438 238240 285888 317157 357360 422876 476480 528595 634314 714720 845752 1057190 1268628 1429440 1585785 1691504 2114380 2537256 3171570 3383008 4228760 5074512 6343140 6766016 8457520 10149024 12686280 16915040 20298048 25372560 33830080 50745120 101490240