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1139823984 = 2431319127757
BaseRepresentation
bin100001111110000…
…0101010101110000
32221102210001120010
41003330011111300
54313243331414
6305034214520
740150225665
oct10374052560
92842701503
101139823984
115354456a2
12279884440
131521b5380
14ab547a6c
156a100959
hex43f05570

1139823984 has 160 divisors (see below), whose sum is σ = 3368673280. Its totient is φ = 329204736.

The previous prime is 1139823983. The next prime is 1139824039. The reversal of 1139823984 is 4893289311.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139823983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1505334 + ... + 1506090.

It is an arithmetic number, because the mean of its divisors is an integer number (21054208).

Almost surely, 21139823984 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 1139823984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684336640).

1139823984 is an abundant number, since it is smaller than the sum of its proper divisors (2228849296).

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

1139823984 is a wasteful number, since it uses less digits than its factorization.

1139823984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 921 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 1139823984 is about 33761.2793596451. The cubic root of 1139823984 is about 1044.5901597142.

The spelling of 1139823984 in words is "one billion, one hundred thirty-nine million, eight hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 127 152 156 208 228 247 254 304 312 381 456 494 508 624 741 757 762 912 988 1016 1482 1514 1524 1651 1976 2032 2271 2413 2964 3028 3048 3302 3952 4542 4826 4953 5928 6056 6096 6604 7239 9084 9652 9841 9906 11856 12112 13208 14383 14478 18168 19304 19682 19812 26416 28766 28956 29523 31369 36336 38608 39364 39624 43149 57532 57912 59046 62738 78728 79248 86298 94107 96139 115064 115824 118092 125476 157456 172596 186979 188214 192278 230128 236184 250952 288417 345192 373958 376428 384556 472368 501904 560937 576834 690384 747916 752856 769112 1121874 1153668 1249807 1495832 1505712 1538224 1826641 2243748 2307336 2499614 2991664 3653282 3749421 4487496 4614672 4999228 5479923 7306564 7498842 8974992 9998456 10959846 14613128 14997684 19996912 21919692 23746333 29226256 29995368 43839384 47492666 59990736 71238999 87678768 94985332 142477998 189970664 284955996 379941328 569911992 1139823984