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1242150976 = 261137431109
BaseRepresentation
bin100101000001001…
…1011100001000000
310012120022210210201
41022002123201000
510020442312401
6323131334544
742532052263
oct11202334100
93176283721
101242150976
11588186460
122a7bb1454
1316a4620a1
14bad82cda
15740b4b01
hex4a09b840

1242150976 has 112 divisors (see below), whose sum is σ = 2828422080. Its totient is φ = 536094720.

The previous prime is 1242150947. The next prime is 1242150977. The reversal of 1242150976 is 6790512421.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (1242150977) 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, 1119510 + ... + 1120618.

Almost surely, 21242150976 is an apocalyptic number.

1242150976 is a gapful number since it is divisible by the number (16) 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 1242150976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414211040).

1242150976 is an abundant number, since it is smaller than the sum of its proper divisors (1586271104).

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

1242150976 is a wasteful number, since it uses less digits than its factorization.

1242150976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1242150976 is about 35244.1622967549. The cubic root of 1242150976 is about 1074.9579146315.

The spelling of 1242150976 in words is "one billion, two hundred forty-two million, one hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 37 43 44 64 74 86 88 148 172 176 296 344 352 407 473 592 688 704 814 946 1109 1184 1376 1591 1628 1892 2218 2368 2752 3182 3256 3784 4436 6364 6512 7568 8872 12199 12728 13024 15136 17501 17744 24398 25456 26048 30272 35002 35488 41033 47687 48796 50912 70004 70976 82066 95374 97592 101824 140008 164132 190748 195184 280016 328264 381496 390368 451363 524557 560032 656528 762992 780736 902726 1049114 1120064 1313056 1525984 1764419 1805452 2098228 2626112 3051968 3528838 3610904 4196456 7057676 7221808 8392912 14115352 14443616 16785824 19408609 28230704 28887232 33571648 38817218 56461408 77634436 112922816 155268872 310537744 621075488 1242150976