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1242358272 = 2932359751
BaseRepresentation
bin100101000001100…
…1110001000000000
310012120201100011100
41022003032020000
510021020431042
6323140014400
742533604531
oct11203161000
93176640140
101242358272
11588308181
122a8091400
1316a50554c
14badd8688
157410624c
hex4a0ce200

1242358272 has 120 divisors (see below), whose sum is σ = 3600305280. Its totient is φ = 412416000.

The previous prime is 1242358267. The next prime is 1242358291. The reversal of 1242358272 is 2728532421.

1242358272 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 3 + 582 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1653897 + ... + 1654647.

It is an arithmetic number, because the mean of its divisors is an integer number (30002544).

Almost surely, 21242358272 is an apocalyptic number.

1242358272 is a gapful number since it is divisible by the number (12) 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 1242358272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800152640).

1242358272 is an abundant number, since it is smaller than the sum of its proper divisors (2357947008).

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

1242358272 is an equidigital number, since it uses as much as digits as its factorization.

1242358272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1115 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1242358272 is about 35247.1030298945. The cubic root of 1242358272 is about 1075.0177093171.

The spelling of 1242358272 in words is "one billion, two hundred forty-two million, three hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 359 384 512 576 718 751 768 1077 1152 1436 1502 1536 2154 2253 2304 2872 3004 3231 4308 4506 4608 5744 6008 6462 6759 8616 9012 11488 12016 12924 13518 17232 18024 22976 24032 25848 27036 34464 36048 45952 48064 51696 54072 68928 72096 91904 96128 103392 108144 137856 144192 183808 192256 206784 216288 269609 275712 288384 384512 413568 432576 539218 551424 576768 808827 827136 865152 1078436 1153536 1617654 1654272 1730304 2156872 2426481 3235308 3460608 4313744 4852962 6470616 8627488 9705924 12941232 17254976 19411848 25882464 34509952 38823696 51764928 69019904 77647392 103529856 138039808 155294784 207059712 310589568 414119424 621179136 1242358272