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1630960 = 245192937
BaseRepresentation
bin110001110001011110000
310001212020221
412032023300
5404142320
654542424
716601662
oct6161360
93055227
101630960
11a14401
12667a14
13451486
14306532
152233aa
hex18e2f0

1630960 has 80 divisors (see below), whose sum is σ = 4240800. Its totient is φ = 580608.

The previous prime is 1630943. The next prime is 1630987. The reversal of 1630960 is 690361.

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

It is a plaindrome in base 15.

It is a zygodrome in base 15.

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, 44062 + ... + 44098.

It is an arithmetic number, because the mean of its divisors is an integer number (53010).

21630960 is an apocalyptic number.

1630960 is a gapful number since it is divisible by the number (10) 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 1630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120400).

1630960 is an abundant number, since it is smaller than the sum of its proper divisors (2609840).

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

1630960 is a wasteful number, since it uses less digits than its factorization.

1630960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 1630960 is about 1277.0904431558. The cubic root of 1630960 is about 117.7102918897.

It can be divided in two parts, 16 and 30960, that added together give a square (30976 = 1762).

The spelling of 1630960 in words is "one million, six hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 29 37 38 40 58 74 76 80 95 116 145 148 152 185 190 232 290 296 304 370 380 464 551 580 592 703 740 760 1073 1102 1160 1406 1480 1520 2146 2204 2320 2755 2812 2960 3515 4292 4408 5365 5510 5624 7030 8584 8816 10730 11020 11248 14060 17168 20387 21460 22040 28120 40774 42920 44080 56240 81548 85840 101935 163096 203870 326192 407740 815480 1630960