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23704405120 = 2751129116107
BaseRepresentation
bin10110000100111001…
…001000010010000000
32021012000000112202101
4112010321020102000
5342021311430440
614520055400144
71466263055554
oct260471102200
967160015671
1023704405120
11a064578460
124716683054
132309cb1626
14120c291864
1593b0a269a
hex584e48480

23704405120 has 128 divisors (see below), whose sum is σ = 63952286400. Its totient is φ = 8322478080.

The previous prime is 23704405069. The next prime is 23704405121. The reversal of 23704405120 is 2150440732.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (23704405121) by changing a digit.

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, 146107 + ... + 262213.

Almost surely, 223704405120 is an apocalyptic number.

23704405120 is a gapful number since it is divisible by the number (20) 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 23704405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31976143200).

23704405120 is an abundant number, since it is smaller than the sum of its proper divisors (40247881280).

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

23704405120 is a wasteful number, since it uses less digits than its factorization.

23704405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116166 (or 116154 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 23704405120 its reverse (2150440732), we get a palindrome (25854845852).

It can be divided in two parts, 23704 and 405120, that added together give a palindrome (428824).

The spelling of 23704405120 in words is "twenty-three billion, seven hundred four million, four hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 290 319 320 352 440 464 580 638 640 704 880 928 1160 1276 1408 1595 1760 1856 2320 2552 3190 3520 3712 4640 5104 6380 7040 9280 10208 12760 18560 20416 25520 40832 51040 102080 116107 204160 232214 464428 580535 928856 1161070 1277177 1857712 2322140 2554354 3367103 3715424 4644280 5108708 6385885 6734206 7430848 9288560 10217416 12771770 13468412 14861696 16835515 18577120 20434832 25543540 26936824 33671030 37038133 37154240 40869664 51087080 53873648 67342060 74076266 74308480 81739328 102174160 107747296 134684120 148152532 163478656 185190665 204348320 215494592 269368240 296305064 370381330 408696640 430989184 538736480 592610128 740762660 817393280 1077472960 1185220256 1481525320 2154945920 2370440512 2963050640 4740881024 5926101280 11852202560 23704405120