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1925371680 = 253519121001
BaseRepresentation
bin111001011000010…
…1101011100100000
311222011221000102020
41302300231130200
512420343343210
6515015221440
765466250341
oct16260553440
94864830366
101925371680
118a8905271
12458977880
13248b77cab
141439d00c8
15b4070770
hex72c2d720

1925371680 has 96 divisors (see below), whose sum is σ = 6096964608. Its totient is φ = 510720000.

The previous prime is 1925371663. The next prime is 1925371691. The reversal of 1925371680 is 861735291.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19253716802 = 7414112212292044800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81180 + ... + 102180.

It is an arithmetic number, because the mean of its divisors is an integer number (63510048).

Almost surely, 21925371680 is an apocalyptic number.

1925371680 is a gapful number since it is divisible by the number (10) 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 1925371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048482304).

1925371680 is an abundant number, since it is smaller than the sum of its proper divisors (4171592928).

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

1925371680 is a wasteful number, since it uses less digits than its factorization.

1925371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21210 (or 21202 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 1925371680 is about 43879.0574192291. The cubic root of 1925371680 is about 1244.0510243991.

The spelling of 1925371680 in words is "one billion, nine hundred twenty-five million, three hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 191 240 382 480 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 15280 18336 21001 22920 30560 42002 45840 63003 84004 91680 105005 126006 168008 210010 252012 315015 336016 420020 504024 630030 672032 840040 1008048 1260060 1680080 2016096 2520120 3360160 4011191 5040240 8022382 10080480 12033573 16044764 20055955 24067146 32089528 40111910 48134292 60167865 64179056 80223820 96268584 120335730 128358112 160447640 192537168 240671460 320895280 385074336 481342920 641790560 962685840 1925371680