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1923120640 = 2957215331
BaseRepresentation
bin111001010100000…
…0111111000000000
311222000200122120101
41302220013320000
512414304330030
6514455052144
765441153500
oct16250077000
94860618511
101923120640
118a7608001
12458071054
1324856a50c
141435a5a00
15b3c787ca
hex72a07e00

1923120640 has 120 divisors (see below), whose sum is σ = 5364145512. Its totient is φ = 659312640.

The previous prime is 1923120637. The next prime is 1923120653. The reversal of 1923120640 is 460213291.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1923120599 and 1923120608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117775 + ... + 133105.

Almost surely, 21923120640 is an apocalyptic number.

1923120640 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 1923120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682072756).

1923120640 is an abundant number, since it is smaller than the sum of its proper divisors (3441024872).

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

1923120640 is an equidigital number, since it uses as much as digits as its factorization.

1923120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15368 (or 15345 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 1923120640 is about 43853.3994121322. The cubic root of 1923120640 is about 1243.5660097016.

The spelling of 1923120640 in words is "one billion, nine hundred twenty-three million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 6272 7840 8960 12544 15331 15680 17920 25088 30662 31360 61324 62720 76655 107317 122648 125440 153310 214634 245296 306620 429268 490592 536585 613240 751219 858536 981184 1073170 1226480 1502438 1717072 1962368 2146340 2452960 3004876 3434144 3756095 3924736 4292680 4905920 6009752 6868288 7512190 7849472 8585360 9811840 12019504 13736576 15024380 17170720 19623680 24039008 27473152 30048760 34341440 39247360 48078016 54946304 60097520 68682880 96156032 120195040 137365760 192312064 240390080 274731520 384624128 480780160 961560320 1923120640