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2135700 = 2233527113
BaseRepresentation
bin1000001001011010010100
311000111122000
420021122110
51021320300
6113435300
724103350
oct10113224
94014560
102135700
111229646
1286bb30
1359a138
143d8460
152c2c00
hex209694

2135700 has 144 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 483840.

The previous prime is 2135699. The next prime is 2135701. The reversal of 2135700 is 75312.

It is an interprime number because it is at equal distance from previous prime (2135699) and next prime (2135701).

It is a super-2 number, since 2×21357002 = 9122428980000, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18844 + ... + 18956.

22135700 is an apocalyptic number.

2135700 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 2135700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).

2135700 is an abundant number, since it is smaller than the sum of its proper divisors (5780460).

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

2135700 is a wasteful number, since it uses less digits than its factorization.

2135700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2135700 is about 1461.4034350582. The cubic root of 2135700 is about 128.7795043452.

It can be divided in two parts, 21 and 35700, that multiplied together give a triangular number (749700 = T1224).

The spelling of 2135700 in words is "two million, one hundred thirty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 113 126 135 140 150 175 180 189 210 225 226 252 270 300 315 339 350 378 420 450 452 525 540 565 630 675 678 700 756 791 900 945 1017 1050 1130 1260 1350 1356 1575 1582 1695 1890 2034 2100 2260 2373 2700 2825 3051 3150 3164 3390 3780 3955 4068 4725 4746 5085 5650 6102 6300 6780 7119 7910 8475 9450 9492 10170 11300 11865 12204 14238 15255 15820 16950 18900 19775 20340 21357 23730 25425 28476 30510 33900 35595 39550 42714 47460 50850 59325 61020 71190 76275 79100 85428 101700 106785 118650 142380 152550 177975 213570 237300 305100 355950 427140 533925 711900 1067850 2135700