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402006640 = 24574117509
BaseRepresentation
bin10111111101100…
…010001001110000
31001000110001102211
4113331202021300
51310403203030
6103520221504
712651000010
oct2775421160
91030401384
10402006640
11196a165a2
12b276a894
1365394a69
143b567c40
152545d12a
hex17f62270

402006640 has 80 divisors (see below), whose sum is σ = 1094304960. Its totient is φ = 134461440.

The previous prime is 402006629. The next prime is 402006659. The reversal of 402006640 is 46600204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14206 + ... + 31714.

It is an arithmetic number, because the mean of its divisors is an integer number (13678812).

Almost surely, 2402006640 is an apocalyptic number.

402006640 is a gapful number since it is divisible by the number (40) 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 402006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547152480).

402006640 is an abundant number, since it is smaller than the sum of its proper divisors (692298320).

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

402006640 is a wasteful number, since it uses less digits than its factorization.

402006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17570 (or 17564 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 402006640 is about 20050.1032416295. The cubic root of 402006640 is about 738.0363326487.

Adding to 402006640 its reverse (46600204), we get a palindrome (448606844).

The spelling of 402006640 in words is "four hundred two million, six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 17509 22960 35018 70036 87545 122563 140072 175090 245126 280144 350180 490252 612815 700360 717869 980504 1225630 1400720 1435738 1961008 2451260 2871476 3589345 4902520 5025083 5742952 7178690 9805040 10050166 11485904 14357380 20100332 25125415 28714760 40200664 50250830 57429520 80401328 100501660 201003320 402006640