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202023120 = 24351373887
BaseRepresentation
bin11000000101010…
…10000011010000
3112002010211121210
430002222003100
5403204214440
632014020120
75002111455
oct1402520320
9462124553
10202023120
11a4044a62
12577a7640
1332b15110
141cb8b82c
1512b08a80
hexc0aa0d0

202023120 has 160 divisors (see below), whose sum is σ = 684456192. Its totient is φ = 48992256.

The previous prime is 202023119. The next prime is 202023131. The reversal of 202023120 is 21320202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 202023096 and 202023105.

It is a congruent number.

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, 227317 + ... + 228203.

Almost surely, 2202023120 is an apocalyptic number.

202023120 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 202023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342228096).

202023120 is an abundant number, since it is smaller than the sum of its proper divisors (482433072).

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

202023120 is a wasteful number, since it uses less digits than its factorization.

202023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 202023120 is about 14213.4837390416. The cubic root of 202023120 is about 586.7688154317.

Adding to 202023120 its reverse (21320202), we get a palindrome (223343322).

The spelling of 202023120 in words is "two hundred two million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 73 78 80 104 120 130 146 156 195 208 219 240 260 292 312 365 390 438 520 584 624 730 780 876 887 949 1040 1095 1168 1460 1560 1752 1774 1898 2190 2661 2847 2920 3120 3504 3548 3796 4380 4435 4745 5322 5694 5840 7096 7592 8760 8870 9490 10644 11388 11531 13305 14192 14235 15184 17520 17740 18980 21288 22776 23062 26610 28470 34593 35480 37960 42576 45552 46124 53220 56940 57655 64751 69186 70960 75920 92248 106440 113880 115310 129502 138372 172965 184496 194253 212880 227760 230620 259004 276744 323755 345930 388506 461240 518008 553488 647510 691860 777012 841763 922480 971265 1036016 1295020 1383720 1554024 1683526 1942530 2525289 2590040 2767440 3108048 3367052 3885060 4208815 5050578 5180080 6734104 7770120 8417630 10101156 12626445 13468208 15540240 16835260 20202312 25252890 33670520 40404624 50505780 67341040 101011560 202023120