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2693440890 = 233573145971
BaseRepresentation
bin1010000010001010…
…1010010101111010
320221201011222022000
42200202222111322
521004010102030
61123133441430
7123513604230
oct24042522572
96851158260
102693440890
111162417008
12632040276
1333c02b10a
141b7a06950
1510b6db860
hexa08aa57a

2693440890 has 128 divisors (see below), whose sum is σ = 8473559040. Its totient is φ = 595771200.

The previous prime is 2693440889. The next prime is 2693440901. The reversal of 2693440890 is 980443962.

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

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, 35605 + ... + 81575.

It is an arithmetic number, because the mean of its divisors is an integer number (66199680).

Almost surely, 22693440890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2693440890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236779520).

2693440890 is an abundant number, since it is smaller than the sum of its proper divisors (5780118150).

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

2693440890 is a wasteful number, since it uses less digits than its factorization.

2693440890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46025 (or 46019 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2693440890 is about 51898.3707836768. The cubic root of 2693440890 is about 1391.3481545965.

The spelling of 2693440890 in words is "two billion, six hundred ninety-three million, four hundred forty thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 465 558 630 651 837 930 945 1085 1302 1395 1674 1890 1953 2170 2790 3255 3906 4185 5859 6510 8370 9765 11718 19530 29295 45971 58590 91942 137913 229855 275826 321797 413739 459710 643594 689565 827478 965391 1241217 1379130 1425101 1608985 1930782 2068695 2482434 2850202 2896173 3217970 4137390 4275303 4826955 5792346 6206085 7125505 8550606 8688519 9653910 9975707 12412170 12825909 14251010 14480865 17377038 19951414 21376515 25651818 28961730 29927121 38477727 42753030 43442595 49878535 59854242 64129545 76955454 86885190 89781363 99757070 128259090 149635605 179562726 192388635 269344089 299271210 384777270 448906815 538688178 897813630 1346720445 2693440890