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987136241 = 7131923103241
BaseRepresentation
bin111010110101101…
…000000011110001
32112210110201100112
4322311220003301
54010201324431
6241541431105
733314343140
oct7265500361
92483421315
10987136241
11467238083
1223670b495
13129684cb0
149515d757
155b9dec2b
hex3ad680f1

987136241 has 64 divisors (see below), whose sum is σ = 1353031680. Its totient is φ = 697973760.

The previous prime is 987136219. The next prime is 987136261. The reversal of 987136241 is 142631789.

987136241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 987136241 - 26 = 987136177 is a prime.

It is a super-2 number, since 2×9871362412 = 1948875916591220162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (987136201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4095881 + ... + 4096121.

It is an arithmetic number, because the mean of its divisors is an integer number (21141120).

Almost surely, 2987136241 is an apocalyptic number.

987136241 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

987136241 is a deficient number, since it is larger than the sum of its proper divisors (365895439).

987136241 is a wasteful number, since it uses less digits than its factorization.

987136241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406.

The product of its digits is 72576, while the sum is 41.

The square root of 987136241 is about 31418.7243693948. The cubic root of 987136241 is about 995.6935615427.

It can be divided in two parts, 987136 and 241, that multiplied together give a square (237899776 = 154242).

The spelling of 987136241 in words is "nine hundred eighty-seven million, one hundred thirty-six thousand, two hundred forty-one".

Divisors: 1 7 13 19 23 91 103 133 161 241 247 299 437 721 1339 1687 1729 1957 2093 2369 3059 3133 4579 5543 5681 9373 13699 16583 21931 24823 25441 30797 32053 38801 39767 45011 59527 72059 105317 173761 178087 215579 315077 322699 416689 471637 504413 570929 585143 737219 1369121 2258893 3301459 3996503 4096001 6131281 7422077 9583847 10847651 42918967 51954539 75933557 141019463 987136241