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2157400 = 235272367
BaseRepresentation
bin1000001110101101011000
311001121101201
420032231120
51023014100
6114123544
724223540
oct10165530
94047351
102157400
111243983
128805b4
135a6c8b
14402320
152c936a
hex20eb58

2157400 has 96 divisors (see below), whose sum is σ = 6071040. Its totient is φ = 696960.

The previous prime is 2157391. The next prime is 2157401. The reversal of 2157400 is 47512.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157401) 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, 32167 + ... + 32233.

It is an arithmetic number, because the mean of its divisors is an integer number (63240).

22157400 is an apocalyptic number.

2157400 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 2157400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035520).

2157400 is an abundant number, since it is smaller than the sum of its proper divisors (3913640).

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

2157400 is a wasteful number, since it uses less digits than its factorization.

2157400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 2157400 is about 1468.8090413665. The cubic root of 2157400 is about 129.2141945572.

The spelling of 2157400 in words is "two million, one hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 67 70 92 100 115 134 140 161 175 184 200 230 268 280 322 335 350 460 469 536 575 644 670 700 805 920 938 1150 1288 1340 1400 1541 1610 1675 1876 2300 2345 2680 3082 3220 3350 3752 4025 4600 4690 6164 6440 6700 7705 8050 9380 10787 11725 12328 13400 15410 16100 18760 21574 23450 30820 32200 38525 43148 46900 53935 61640 77050 86296 93800 107870 154100 215740 269675 308200 431480 539350 1078700 2157400