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2074690100 = 225277937517
BaseRepresentation
bin111101110101001…
…0100001000110100
312100120220011210002
41323222110020310
513222110040400
6541511450432
7102261401120
oct17352241064
95316804702
102074690100
1197512141a
1249a986a18
13270a988a2
1415977c580
15c2217ed5
hex7ba94234

2074690100 has 72 divisors (see below), whose sum is σ = 5210499840. Its totient is φ = 702299520.

The previous prime is 2074690087. The next prime is 2074690103. The reversal of 2074690100 is 10964702.

It is a super-2 number, since 2×20746901002 = 8608678022076020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074690103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36542 + ... + 74058.

Almost surely, 22074690100 is an apocalyptic number.

2074690100 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 2074690100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605249920).

2074690100 is an abundant number, since it is smaller than the sum of its proper divisors (3135809740).

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

2074690100 is a wasteful number, since it uses less digits than its factorization.

2074690100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37617 (or 37610 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 2074690100 is about 45548.7661742884. The cubic root of 2074690100 is about 1275.4137014553.

The spelling of 2074690100 in words is "two billion, seventy-four million, six hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 553 700 790 1106 1580 1975 2212 2765 3950 5530 7900 11060 13825 27650 37517 55300 75034 150068 187585 262619 375170 525238 750340 937925 1050476 1313095 1875850 2626190 2963843 3751700 5252380 5927686 6565475 11855372 13130950 14819215 20746901 26261900 29638430 41493802 59276860 74096075 82987604 103734505 148192150 207469010 296384300 414938020 518672525 1037345050 2074690100