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920380000 = 2554172707
BaseRepresentation
bin110110110110111…
…110001001100000
32101010212011000011
4312312332021200
53341104130000
6231154534304
731544046421
oct6666761140
92333764004
10920380000
11432592131
12218297394
131188b0a67
148a343648
1555c052ba
hex36dbe260

920380000 has 120 divisors (see below), whose sum is σ = 2398351032. Its totient is φ = 346368000.

The previous prime is 920379979. The next prime is 920380031. The reversal of 920380000 is 83029.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 338647 + ... + 341353.

Almost surely, 2920380000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199175516).

920380000 is an abundant number, since it is smaller than the sum of its proper divisors (1477971032).

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

920380000 is a wasteful number, since it uses less digits than its factorization.

920380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 920380000 is about 30337.7652439991. The cubic root of 920380000 is about 972.7227149438.

The spelling of 920380000 in words is "nine hundred twenty million, three hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2707 2720 3400 4000 4250 5000 5414 6800 8500 10000 10625 10828 13535 13600 17000 20000 21250 21656 27070 34000 42500 43312 46019 54140 67675 68000 85000 86624 92038 108280 135350 170000 184076 216560 230095 270700 338375 340000 368152 433120 460190 541400 676750 736304 920380 1082800 1150475 1353500 1472608 1691875 1840760 2165600 2300950 2707000 3383750 3681520 4601900 5414000 5752375 6767500 7363040 9203800 10828000 11504750 13535000 18407600 23009500 27070000 28761875 36815200 46019000 54140000 57523750 92038000 115047500 184076000 230095000 460190000 920380000