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2001997890 = 2335192913457
BaseRepresentation
bin111011101010100…
…0001000001000010
312011112010000211000
41313111001001002
513100002413030
6530353432430
7100416462354
oct16725010102
95145100730
102001997890
11938091712
1247a56b716
1325b9c6849
1414dc590d4
15bab59860
hex77541042

2001997890 has 128 divisors (see below), whose sum is σ = 5813856000. Its totient is φ = 488291328.

The previous prime is 2001997889. The next prime is 2001997969. The reversal of 2001997890 is 987991002.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142042 + ... + 155498.

It is an arithmetic number, because the mean of its divisors is an integer number (45420750).

Almost surely, 22001997890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001997890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906928000).

2001997890 is an abundant number, since it is smaller than the sum of its proper divisors (3811858110).

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

2001997890 is a wasteful number, since it uses less digits than its factorization.

2001997890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13521 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 2001997890 is about 44743.6910636572. The cubic root of 2001997890 is about 1260.3404408874.

The spelling of 2001997890 in words is "two billion, one million, nine hundred ninety-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 87 90 95 114 135 145 171 174 190 261 270 285 290 342 435 513 522 551 570 783 855 870 1026 1102 1305 1566 1653 1710 2565 2610 2755 3306 3915 4959 5130 5510 7830 8265 9918 13457 14877 16530 24795 26914 29754 40371 49590 67285 74385 80742 121113 134570 148770 201855 242226 255683 363339 390253 403710 511366 605565 726678 767049 780506 1170759 1211130 1278415 1534098 1816695 1951265 2301147 2341518 2556830 3512277 3633390 3835245 3902530 4602294 5853795 6903441 7024554 7414807 7670490 10536831 11505735 11707590 13806882 14829614 17561385 21073662 22244421 23011470 34517205 35122770 37074035 44488842 52684155 66733263 69034410 74148070 105368310 111222105 133466526 200199789 222444210 333666315 400399578 667332630 1000998945 2001997890