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2131740 = 2232513911
BaseRepresentation
bin1000001000011100011100
311000022012100
420020130130
51021203430
6113405100
724055662
oct10103434
94008170
102131740
111226676
12869790
135983b0
143d6c32
152c1960
hex20871c

2131740 has 72 divisors (see below), whose sum is σ = 6971328. Its totient is φ = 524160.

The previous prime is 2131721. The next prime is 2131771. The reversal of 2131740 is 471312.

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, 1885 + ... + 2795.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

22131740 is an apocalyptic number.

2131740 is a gapful number since it is divisible by the number (20) 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 2131740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485664).

2131740 is an abundant number, since it is smaller than the sum of its proper divisors (4839588).

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

2131740 is a wasteful number, since it uses less digits than its factorization.

2131740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2131740 is about 1460.0479444183. The cubic root of 2131740 is about 128.6998610815.

It can be divided in two parts, 213 and 1740, that added together give a triangular number (1953 = T62).

The spelling of 2131740 in words is "two million, one hundred thirty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 911 1170 1822 2340 2733 3644 4555 5466 8199 9110 10932 11843 13665 16398 18220 23686 27330 32796 35529 40995 47372 54660 59215 71058 81990 106587 118430 142116 163980 177645 213174 236860 355290 426348 532935 710580 1065870 2131740