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1242010240 = 27519102139
BaseRepresentation
bin100101000000111…
…1001001010000000
310012120001122202021
41022001321022000
510020423311430
6323124331224
742530625052
oct11201711200
93176048667
101242010240
1158809a749
122a7b43b14
1316a413003
14bad478d2
157408807a
hex4a079280

1242010240 has 64 divisors (see below), whose sum is σ = 3125484000. Its totient is φ = 470651904.

The previous prime is 1242010207. The next prime is 1242010243. The reversal of 1242010240 is 420102421.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1242010243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38910 + ... + 63229.

Almost surely, 21242010240 is an apocalyptic number.

1242010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242010240 is an abundant number, since it is smaller than the sum of its proper divisors (1883473760).

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

1242010240 is a wasteful number, since it uses less digits than its factorization.

1242010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102177 (or 102165 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1242010240 is about 35242.1656542273. The cubic root of 1242010240 is about 1074.9173154360.

Adding to 1242010240 its reverse (420102421), we get a palindrome (1662112661).

The spelling of 1242010240 in words is "one billion, two hundred forty-two million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 102139 204278 408556 510695 817112 1021390 1634224 1940641 2042780 3268448 3881282 4085560 6536896 7762564 8171120 9703205 13073792 15525128 16342240 19406410 31050256 32684480 38812820 62100512 65368960 77625640 124201024 155251280 248402048 310502560 621005120 1242010240