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2115540 = 2232572373
BaseRepresentation
bin1000000100011111010100
310222110222100
420010133110
51020144130
6113202100
723660520
oct10043724
93873870
102115540
111215489
12860330
13590bcb
143d0d80
152bbc60
hex2047d4

2115540 has 144 divisors (see below), whose sum is σ = 7757568. Its totient is φ = 456192.

The previous prime is 2115539. The next prime is 2115571. The reversal of 2115540 is 455112.

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 47 ways as a sum of consecutive naturals, for example, 28944 + ... + 29016.

It is an arithmetic number, because the mean of its divisors is an integer number (53872).

22115540 is an apocalyptic number.

2115540 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 2115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878784).

2115540 is an abundant number, since it is smaller than the sum of its proper divisors (5642028).

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

2115540 is a wasteful number, since it uses less digits than its factorization.

2115540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2115540 is about 1454.4896012004. The cubic root of 2115540 is about 128.3730167190.

The spelling of 2115540 in words is "two million, one hundred fifteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 73 84 90 92 105 115 126 138 140 146 161 180 207 210 219 230 252 276 292 315 322 345 365 414 420 438 460 483 511 630 644 657 690 730 805 828 876 966 1022 1035 1095 1260 1314 1380 1449 1460 1533 1610 1679 1932 2044 2070 2190 2415 2555 2628 2898 3066 3220 3285 3358 4140 4380 4599 4830 5037 5110 5796 6132 6570 6716 7245 7665 8395 9198 9660 10074 10220 11753 13140 14490 15111 15330 16790 18396 20148 22995 23506 25185 28980 30222 30660 33580 35259 45990 47012 50370 58765 60444 70518 75555 91980 100740 105777 117530 141036 151110 176295 211554 235060 302220 352590 423108 528885 705180 1057770 2115540