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998769120 = 25353756237
BaseRepresentation
bin111011100010000…
…000000111100000
32120121100201122220
4323202000013200
54021141102440
6243035031040
733515253216
oct7342000740
92517321586
10998769120
11472863028
1223a59b480
1312bbc8b5b
149690acb6
155ca3b8d0
hex3b8801e0

998769120 has 96 divisors (see below), whose sum is σ = 3231210528. Its totient is φ = 259135488.

The previous prime is 998769097. The next prime is 998769131. The reversal of 998769120 is 21967899.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10359 + ... + 45878.

It is an arithmetic number, because the mean of its divisors is an integer number (33658443).

Almost surely, 2998769120 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 998769120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615605264).

998769120 is an abundant number, since it is smaller than the sum of its proper divisors (2232441408).

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

998769120 is a wasteful number, since it uses less digits than its factorization.

998769120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56292 (or 56284 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 998769120 is about 31603.3086875409. The cubic root of 998769120 is about 999.5895382108.

The spelling of 998769120 in words is "nine hundred ninety-eight million, seven hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 56237 112474 168711 224948 281185 337422 449896 562370 674844 843555 899792 1124740 1349688 1687110 1799584 2080769 2249480 2699376 3374220 4161538 4498960 5398752 6242307 6748440 8323076 8997920 10403845 12484614 13496880 16646152 20807690 24969228 26993760 31211535 33292304 41615380 49938456 62423070 66584608 83230760 99876912 124846140 166461520 199753824 249692280 332923040 499384560 998769120