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10987002 = 235133747
BaseRepresentation
bin101001111010…
…010111111010
3202200012100000
4221322113322
510303041002
61031253430
7162250035
oct51722772
922605300
1010987002
116224774
12381a276
132378bb0
14166001c
15e7061c
hexa7a5fa

10987002 has 96 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 3219264.

The previous prime is 10986979. The next prime is 10987003. The reversal of 10987002 is 20078901.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10987003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233743 + ... + 233789.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 210987002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10987002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

10987002 is an abundant number, since it is smaller than the sum of its proper divisors (16898310).

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

10987002 is a wasteful number, since it uses less digits than its factorization.

10987002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10987002 is about 3314.6646889241. The cubic root of 10987002 is about 222.3103766731.

It can be divided in two parts, 1098 and 7002, that added together give a square (8100 = 902).

The spelling of 10987002 in words is "ten million, nine hundred eighty-seven thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 37 39 47 54 74 78 81 94 111 117 141 162 222 234 243 282 333 351 423 481 486 611 666 702 846 962 999 1053 1222 1269 1443 1739 1833 1998 2106 2538 2886 2997 3159 3478 3666 3807 4329 5217 5499 5994 6318 7614 8658 8991 10434 10998 11421 12987 15651 16497 17982 22607 22842 25974 31302 32994 38961 45214 46953 49491 67821 77922 93906 98982 116883 135642 140859 148473 203463 233766 281718 296946 406926 422577 610389 845154 1220778 1831167 3662334 5493501 10987002