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102669072 = 24311337577
BaseRepresentation
bin1100001111010…
…01101100010000
321011012010111020
412013221230100
5202240402242
614104315440
72354446512
oct607515420
9234163436
10102669072
1152a54880
122a472b80
131836963c
14d8c7bb2
1590306ec
hex61e9b10

102669072 has 80 divisors (see below), whose sum is σ = 290701632. Its totient is φ = 30965760.

The previous prime is 102669071. The next prime is 102669101. The reversal of 102669072 is 270966201.

It is a super-4 number, since 4×1026690724 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (102669071) 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, 177648 + ... + 178224.

Almost surely, 2102669072 is an apocalyptic number.

102669072 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 102669072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145350816).

102669072 is an abundant number, since it is smaller than the sum of its proper divisors (188032560).

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

102669072 is a wasteful number, since it uses less digits than its factorization.

102669072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 102669072 is about 10132.5747961710. The cubic root of 102669072 is about 468.2522564388.

The spelling of 102669072 in words is "one hundred two million, six hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 337 528 577 674 1011 1154 1348 1731 2022 2308 2696 3462 3707 4044 4616 5392 6347 6924 7414 8088 9232 11121 12694 13848 14828 16176 19041 22242 25388 27696 29656 38082 44484 50776 59312 76164 88968 101552 152328 177936 194449 304656 388898 583347 777796 1166694 1555592 2138939 2333388 3111184 4277878 4666776 6416817 8555756 9333552 12833634 17111512 25667268 34223024 51334536 102669072