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102480147 = 357115477
BaseRepresentation
bin1100001101110…
…11100100010011
321010211112100000
412012323210103
5202213331042
614100301043
72353031640
oct606734423
9233745300
10102480147
1152935940
122a3a1783
1318301653
14d878dc7
158ee474c
hex61bb913

102480147 has 48 divisors (see below), whose sum is σ = 191423232. Its totient is φ = 53226720.

The previous prime is 102480127. The next prime is 102480173. The reversal of 102480147 is 741084201.

It is not a de Polignac number, because 102480147 - 26 = 102480083 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102480147.

It is not an unprimeable number, because it can be changed into a prime (102480127) 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, 15973 + ... + 21449.

It is an arithmetic number, because the mean of its divisors is an integer number (3987984).

Almost surely, 2102480147 is an apocalyptic number.

102480147 is a deficient number, since it is larger than the sum of its proper divisors (88943085).

102480147 is an equidigital number, since it uses as much as digits as its factorization.

102480147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 102480147 is about 10123.2478483933. The cubic root of 102480147 is about 467.9648642261.

It can be divided in two parts, 102 and 480147, that added together give a square (480249 = 6932).

The spelling of 102480147 in words is "one hundred two million, four hundred eighty thousand, one hundred forty-seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 891 1701 2079 2673 5477 6237 16431 18711 38339 49293 60247 115017 147879 180741 345051 421729 443637 542223 1035153 1265187 1330911 1626669 3105459 3795561 4880007 9316377 11386683 14640021 34160049 102480147