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1013940 = 2232543131
BaseRepresentation
bin11110111100010110100
31220111212100
43313202310
5224421230
633422100
711422044
oct3674264
91814770
101013940
11632874
1240a930
13296685
141c5724
15150660
hexf78b4

1013940 has 72 divisors (see below), whose sum is σ = 3171168. Its totient is φ = 262080.

The previous prime is 1013933. The next prime is 1013993. The reversal of 1013940 is 493101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7675 + ... + 7805.

It is an arithmetic number, because the mean of its divisors is an integer number (44044).

21013940 is an apocalyptic number.

1013940 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 1013940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585584).

1013940 is an abundant number, since it is smaller than the sum of its proper divisors (2157228).

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

1013940 is a wasteful number, since it uses less digits than its factorization.

1013940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1013940 is about 1006.9458773936. The cubic root of 1013940 is about 100.4625240832.

It can be divided in two parts, 1013 and 940, that added together give a triangular number (1953 = T62).

The spelling of 1013940 in words is "one million, thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 131 172 180 215 258 262 387 393 430 516 524 645 655 774 786 860 1179 1290 1310 1548 1572 1935 1965 2358 2580 2620 3870 3930 4716 5633 5895 7740 7860 11266 11790 16899 22532 23580 28165 33798 50697 56330 67596 84495 101394 112660 168990 202788 253485 337980 506970 1013940