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2187990 = 2325723151
BaseRepresentation
bin1000010110001011010110
311010011100200
420112023112
51030003430
6114521330
724411660
oct10261326
94104320
102187990
111264962
12896246
135b7b8c
1440d530
152d3460
hex2162d6

2187990 has 96 divisors (see below), whose sum is σ = 6829056. Its totient is φ = 475200.

The previous prime is 2187979. The next prime is 2188001. The reversal of 2187990 is 997812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2187979) and next prime (2188001).

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, 14415 + ... + 14565.

It is an arithmetic number, because the mean of its divisors is an integer number (71136).

22187990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2187990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414528).

2187990 is an abundant number, since it is smaller than the sum of its proper divisors (4641066).

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

2187990 is a wasteful number, since it uses less digits than its factorization.

2187990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 2187990 is about 1479.1855867335. The cubic root of 2187990 is about 129.8220444783.

The spelling of 2187990 in words is "two million, one hundred eighty-seven thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 151 161 207 210 230 302 315 322 345 414 453 483 630 690 755 805 906 966 1035 1057 1359 1449 1510 1610 2070 2114 2265 2415 2718 2898 3171 3473 4530 4830 5285 6342 6795 6946 7245 9513 10419 10570 13590 14490 15855 17365 19026 20838 24311 31257 31710 34730 47565 48622 52095 62514 72933 95130 104190 121555 145866 156285 218799 243110 312570 364665 437598 729330 1093995 2187990