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2123720976 = 243136779643
BaseRepresentation
bin111111010010101…
…0110100100010000
312111000011012111110
41332211112210100
513322133032401
6550422413320
7103425221226
oct17645264420
95430135443
102123720976
1199a870003
124b3291240
1327aca4b40
141620a2b16
15c66a09d6
hex7e956910

2123720976 has 160 divisors (see below), whose sum is σ = 6081832960. Its totient is φ = 634563072.

The previous prime is 2123720959. The next prime is 2123720987. The reversal of 2123720976 is 6790273212.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3302511 + ... + 3303153.

It is an arithmetic number, because the mean of its divisors is an integer number (38011456).

Almost surely, 22123720976 is an apocalyptic number.

2123720976 is a gapful number since it is divisible by the number (26) 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 2123720976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040916480).

2123720976 is an abundant number, since it is smaller than the sum of its proper divisors (3958111984).

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

2123720976 is a wasteful number, since it uses less digits than its factorization.

2123720976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2123720976 is about 46083.8472352298. The cubic root of 2123720976 is about 1285.3828038854.

The spelling of 2123720976 in words is "two billion, one hundred twenty-three million, seven hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 67 78 79 104 134 156 158 201 208 237 268 312 316 402 474 536 624 632 643 804 871 948 1027 1072 1264 1286 1608 1742 1896 1929 2054 2572 2613 3081 3216 3484 3792 3858 4108 5144 5226 5293 6162 6968 7716 8216 8359 10288 10452 10586 12324 13936 15432 15879 16432 16718 20904 21172 24648 25077 30864 31758 33436 41808 42344 43081 49296 50154 50797 63516 66872 68809 84688 86162 100308 101594 127032 129243 133744 137618 152391 172324 200616 203188 206427 254064 258486 275236 304782 344648 401232 406376 412854 516972 550472 560053 609564 660361 689296 812752 825708 1033944 1100944 1120106 1219128 1320722 1651416 1680159 1981083 2067888 2240212 2438256 2641444 3302832 3360318 3403399 3962166 4480424 5282888 6720636 6806798 7924332 8960848 10210197 10565776 13441272 13613596 15848664 20420394 26882544 27227192 31697328 40840788 44244187 54454384 81681576 88488374 132732561 163363152 176976748 265465122 353953496 530930244 707906992 1061860488 2123720976