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1957140 = 2232583131
BaseRepresentation
bin111011101110100010100
310200102200200
413131310110
51000112030
6105540500
722430643
oct7356424
93612620
101957140
111117479
127a4730
13536a93
1438d35a
15289d60
hex1ddd14

1957140 has 72 divisors (see below), whose sum is σ = 6054048. Its totient is φ = 511680.

The previous prime is 1957129. The next prime is 1957147. The reversal of 1957140 is 417591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14875 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (84084).

21957140 is an apocalyptic number.

1957140 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 1957140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027024).

1957140 is an abundant number, since it is smaller than the sum of its proper divisors (4096908).

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

1957140 is a wasteful number, since it uses less digits than its factorization.

1957140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1957140 is about 1398.9781985435. The cubic root of 1957140 is about 125.0855947083.

The spelling of 1957140 in words is "one million, nine hundred fifty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 131 166 180 249 262 332 393 415 498 524 655 747 786 830 996 1179 1245 1310 1494 1572 1660 1965 2358 2490 2620 2988 3735 3930 4716 4980 5895 7470 7860 10873 11790 14940 21746 23580 32619 43492 54365 65238 97857 108730 130476 163095 195714 217460 326190 391428 489285 652380 978570 1957140