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1930680 = 2332531173
BaseRepresentation
bin111010111010110111000
310122002101200
413113112320
5443240210
6105214200
722260543
oct7272670
93562350
101930680
1110a9604
12791360
13527a1b
1438385a
152820c0
hex1d75b8

1930680 has 96 divisors (see below), whose sum is σ = 6514560. Its totient is φ = 495360.

The previous prime is 1930679. The next prime is 1930693. The reversal of 1930680 is 860391.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11074 + ... + 11246.

It is an arithmetic number, because the mean of its divisors is an integer number (67860).

21930680 is an apocalyptic number.

1930680 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 1930680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257280).

1930680 is an abundant number, since it is smaller than the sum of its proper divisors (4583880).

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

1930680 is a wasteful number, since it uses less digits than its factorization.

1930680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1930680 is about 1389.4891147469. The cubic root of 1930680 is about 124.5193273329.

The spelling of 1930680 in words is "one million, nine hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 173 180 186 248 279 310 346 360 372 465 519 558 620 692 744 865 930 1038 1116 1240 1384 1395 1557 1730 1860 2076 2232 2595 2790 3114 3460 3720 4152 5190 5363 5580 6228 6920 7785 10380 10726 11160 12456 15570 16089 20760 21452 26815 31140 32178 42904 48267 53630 62280 64356 80445 96534 107260 128712 160890 193068 214520 241335 321780 386136 482670 643560 965340 1930680