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39978630 = 2335263563
BaseRepresentation
bin1001100010000…
…0011010000110
32210020010101000
42120200122012
540213304010
63544514130
7663545526
oct230403206
983203330
1039978630
112062659a
121147b946
138389bc3
145449686
15379a7c0
hex2620686

39978630 has 64 divisors (see below), whose sum is σ = 107205120. Its totient is φ = 10601568.

The previous prime is 39978629. The next prime is 39978667. The reversal of 39978630 is 3687993.

It is a happy number.

39978630 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 8 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70729 + ... + 71291.

It is an arithmetic number, because the mean of its divisors is an integer number (1675080).

Almost surely, 239978630 is an apocalyptic number.

39978630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39978630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53602560).

39978630 is an abundant number, since it is smaller than the sum of its proper divisors (67226490).

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

39978630 is a wasteful number, since it uses less digits than its factorization.

39978630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 39978630 is about 6322.8656477898. The cubic root of 39978630 is about 341.9342748429.

The spelling of 39978630 in words is "thirty-nine million, nine hundred seventy-eight thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 263 270 526 563 789 1126 1315 1578 1689 2367 2630 2815 3378 3945 4734 5067 5630 7101 7890 8445 10134 11835 14202 15201 16890 23670 25335 30402 35505 50670 71010 76005 148069 152010 296138 444207 740345 888414 1332621 1480690 2221035 2665242 3997863 4442070 6663105 7995726 13326210 19989315 39978630