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1055640 = 233519463
BaseRepresentation
bin100000001101110011000
31222122001210
410001232120
5232240030
634343120
711654445
oct4015630
91878053
101055640
11661133
1242aaa0
132ac651
141d69cc
1515cbb0
hex101b98

1055640 has 64 divisors (see below), whose sum is σ = 3340800. Its totient is φ = 266112.

The previous prime is 1055611. The next prime is 1055671. The reversal of 1055640 is 465501.

It is a happy number.

It is a super-2 number, since 2×10556402 = 2228751619200, which contains 22 as substring.

It is a zygodrome in base 11.

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, 2049 + ... + 2511.

It is an arithmetic number, because the mean of its divisors is an integer number (52200).

21055640 is an apocalyptic number.

1055640 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 1055640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670400).

1055640 is an abundant number, since it is smaller than the sum of its proper divisors (2285160).

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

1055640 is a wasteful number, since it uses less digits than its factorization.

1055640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1055640 is about 1027.4434290996. The cubic root of 1055640 is about 101.8212941612.

The spelling of 1055640 in words is "one million, fifty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 463 570 760 926 1140 1389 1852 2280 2315 2778 3704 4630 5556 6945 8797 9260 11112 13890 17594 18520 26391 27780 35188 43985 52782 55560 70376 87970 105564 131955 175940 211128 263910 351880 527820 1055640