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19380120 = 2335295569
BaseRepresentation
bin100100111101…
…1011110011000
31100110121112020
41021323132120
514430130440
61531214440
7323504544
oct111733630
940417466
1019380120
11aa37631
1265a7420
134027236
142806a24
151a7c3d0
hex127b798

19380120 has 64 divisors (see below), whose sum is σ = 60156000. Its totient is φ = 4988928.

The previous prime is 19380107. The next prime is 19380131. The reversal of 19380120 is 2108391.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 696 + ... + 6264.

Almost surely, 219380120 is an apocalyptic number.

19380120 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 19380120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30078000).

19380120 is an abundant number, since it is smaller than the sum of its proper divisors (40775880).

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

19380120 is a wasteful number, since it uses less digits than its factorization.

19380120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 19380120 is about 4402.2857699154. The cubic root of 19380120 is about 268.6079241831.

The spelling of 19380120 in words is "nineteen million, three hundred eighty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 5569 11138 16707 22276 27845 33414 44552 55690 66828 83535 111380 133656 161501 167070 222760 323002 334140 484503 646004 668280 807505 969006 1292008 1615010 1938012 2422515 3230020 3876024 4845030 6460040 9690060 19380120