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1242261888 = 2737479833
BaseRepresentation
bin100101000001011…
…0110100110000000
310012120112102221120
41022002312212000
510021004340023
6323133552240
742533023530
oct11202664600
93176472846
101242261888
1158825181a
122a8045680
1316a4a070a
14badb14c0
15740d78e3
hex4a0b6980

1242261888 has 128 divisors (see below), whose sum is σ = 3851781120. Its totient is φ = 347344896.

The previous prime is 1242261871. The next prime is 1242261949. The reversal of 1242261888 is 8881622421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121420 + ... + 131252.

It is an arithmetic number, because the mean of its divisors is an integer number (30092040).

Almost surely, 21242261888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242261888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925890560).

1242261888 is an abundant number, since it is smaller than the sum of its proper divisors (2609519232).

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

1242261888 is an equidigital number, since it uses as much as digits as its factorization.

1242261888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9904 (or 9892 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 1242261888 is about 35245.7357420724. The cubic root of 1242261888 is about 1074.9899081079.

The spelling of 1242261888 in words is "one billion, two hundred forty-two million, two hundred sixty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 282 329 336 376 384 448 564 658 672 752 896 987 1128 1316 1344 1504 1974 2256 2632 2688 3008 3948 4512 5264 6016 7896 9024 9833 10528 15792 18048 19666 21056 29499 31584 39332 42112 58998 63168 68831 78664 117996 126336 137662 157328 206493 235992 275324 314656 412986 462151 471984 550648 629312 825972 924302 943968 1101296 1258624 1386453 1651944 1848604 1887936 2202592 2772906 3235057 3303888 3697208 3775872 4405184 5545812 6470114 6607776 7394416 8810368 9705171 11091624 12940228 13215552 14788832 19410342 22183248 25880456 26431104 29577664 38820684 44366496 51760912 59155328 77641368 88732992 103521824 155282736 177465984 207043648 310565472 414087296 621130944 1242261888