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1874868096 = 27329315431
BaseRepresentation
bin110111111000000…
…0011011110000000
311211122220011112010
41233300003132000
512314431234341
6510012532520
764314054513
oct15760033600
94748804463
101874868096
11882350172
12443a81140
1323b57460a
1413b004d7a
15ae8e6716
hex6fc03780

1874868096 has 128 divisors (see below), whose sum is σ = 5319014400. Its totient is φ = 583833600.

The previous prime is 1874868091. The next prime is 1874868101. The reversal of 1874868096 is 6908684781.

It is an interprime number because it is at equal distance from previous prime (1874868091) and next prime (1874868101).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1874868091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342501 + ... + 347931.

It is an arithmetic number, because the mean of its divisors is an integer number (41554800).

Almost surely, 21874868096 is an apocalyptic number.

1874868096 is a gapful number since it is divisible by the number (16) 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 1874868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659507200).

1874868096 is an abundant number, since it is smaller than the sum of its proper divisors (3444146304).

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

1874868096 is a wasteful number, since it uses less digits than its factorization.

1874868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508 (or 5496 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 1874868096 is about 43299.7470662358. The cubic root of 1874868096 is about 1233.0771206438.

The spelling of 1874868096 in words is "one billion, eight hundred seventy-four million, eight hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 348 372 384 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 3712 3968 5394 5431 5568 5952 7192 10788 10862 11136 11904 14384 16293 21576 21724 28768 32586 43152 43448 57536 65172 86304 86896 115072 130344 157499 168361 172608 173792 260688 314998 336722 345216 347584 472497 505083 521376 629996 673444 695168 944994 1010166 1042752 1259992 1346888 1889988 2020332 2085504 2519984 2693776 3779976 4040664 4882469 5039968 5387552 7559952 8081328 9764938 10079936 10775104 14647407 15119904 16162656 19529876 20159872 21550208 29294814 30239808 32325312 39059752 58589628 60479616 64650624 78119504 117179256 156239008 234358512 312478016 468717024 624956032 937434048 1874868096