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1930380984 = 233472318503
BaseRepresentation
bin111001100001111…
…0100011010111000
311222112100111220000
41303003310122320
512423134142414
6515314433000
765556652620
oct16303643270
94875314800
101930380984
11900716894
1245a592760
13249c1008c
14144535880
15b470eb09
hex730f46b8

1930380984 has 160 divisors (see below), whose sum is σ = 6448273920. Its totient is φ = 527529024.

The previous prime is 1930380979. The next prime is 1930381003. The reversal of 1930380984 is 4890830391.

1930380984 is a `hidden beast` number, since 193 + 0 + 380 + 9 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95077 + ... + 113579.

It is an arithmetic number, because the mean of its divisors is an integer number (40301712).

Almost surely, 21930380984 is an apocalyptic number.

1930380984 is a gapful number since it is divisible by the number (14) 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 1930380984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224136960).

1930380984 is an abundant number, since it is smaller than the sum of its proper divisors (4517892936).

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

1930380984 is a wasteful number, since it uses less digits than its factorization.

1930380984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18551 (or 18538 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1930380984 is about 43936.1011470067. The cubic root of 1930380984 is about 1245.1289864909.

The spelling of 1930380984 in words is "one billion, nine hundred thirty million, three hundred eighty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 1134 1242 1288 1449 1512 1656 1863 1932 2268 2484 2898 3726 3864 4347 4536 4968 5796 7452 8694 11592 13041 14904 17388 18503 26082 34776 37006 52164 55509 74012 104328 111018 129521 148024 166527 222036 259042 333054 388563 425569 444072 499581 518084 666108 777126 851138 999162 1036168 1165689 1276707 1332216 1498743 1554252 1702276 1998324 2331378 2553414 2978983 2997486 3108504 3404552 3497067 3830121 3996648 4662756 5106828 5957966 5994972 6994134 7660242 8936949 9325512 10213656 10491201 11490363 11915932 11989944 13988268 15320484 17873898 20982402 22980726 23831864 26810847 27976536 30640968 34471089 35747796 41964804 45961452 53621694 68942178 71495592 80432541 83929608 91922904 107243388 137884356 160865082 214486776 241297623 275768712 321730164 482595246 643460328 965190492 1930380984