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2139947640 = 233353675399
BaseRepresentation
bin111111110001101…
…0000001001111000
312112010200121022000
41333203100021320
513340311311030
6552202301000
7104013153255
oct17743201170
95463617260
102139947640
119a8a43376
124b87b7760
1328146690c
141642c842c
15c7d08860
hex7f8d0278

2139947640 has 128 divisors (see below), whose sum is σ = 7153920000. Its totient is φ = 568992384.

The previous prime is 2139947633. The next prime is 2139947687. The reversal of 2139947640 is 467499312.

It is a happy number.

2139947640 is a `hidden beast` number, since 2 + 139 + 9 + 476 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393661 + ... + 399059.

It is an arithmetic number, because the mean of its divisors is an integer number (55890000).

Almost surely, 22139947640 is an apocalyptic number.

2139947640 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 2139947640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576960000).

2139947640 is an abundant number, since it is smaller than the sum of its proper divisors (5013972360).

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

2139947640 is a wasteful number, since it uses less digits than its factorization.

2139947640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2139947640 is about 46259.5680913689. The cubic root of 2139947640 is about 1288.6482324608.

The spelling of 2139947640 in words is "two billion, one hundred thirty-nine million, nine hundred forty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 367 540 734 1080 1101 1468 1835 2202 2936 3303 3670 4404 5399 5505 6606 7340 8808 9909 10798 11010 13212 14680 16197 16515 19818 21596 22020 26424 26995 32394 33030 39636 43192 44040 48591 49545 53990 64788 66060 79272 80985 97182 99090 107980 129576 132120 145773 161970 194364 198180 215960 242955 291546 323940 388728 396360 485910 583092 647880 728865 971820 1166184 1457730 1943640 1981433 2915460 3962866 5830920 5944299 7925732 9907165 11888598 15851464 17832897 19814330 23777196 29721495 35665794 39628660 47554392 53498691 59442990 71331588 79257320 89164485 106997382 118885980 142663176 178328970 213994764 237771960 267493455 356657940 427989528 534986910 713315880 1069973820 2139947640