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4253200020 = 22325232514093
BaseRepresentation
bin1111110110000010…
…1010111010010100
3101222102010221120200
43331200222322110
532202304400040
61542012500500
7210253414026
oct37540527224
911872127520
104253200020
111892903143
129a847a730
1352a214804
142c4c24016
1519d5dc630
hexfd82ae94

4253200020 has 144 divisors (see below), whose sum is σ = 13519239552. Its totient is φ = 1080288000.

The previous prime is 4253200019. The next prime is 4253200069. The reversal of 4253200020 is 200023524.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4253199966 and 4253200002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037094 + ... + 1041186.

It is an arithmetic number, because the mean of its divisors is an integer number (93883608).

Almost surely, 24253200020 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 4253200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759619776).

4253200020 is an abundant number, since it is smaller than the sum of its proper divisors (9266039532).

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

4253200020 is a wasteful number, since it uses less digits than its factorization.

4253200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4382 (or 4377 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4253200020 is about 65216.5624669071. The cubic root of 4253200020 is about 1620.2123407077.

Adding to 4253200020 its reverse (200023524), we get a palindrome (4453223544).

The spelling of 4253200020 in words is "four billion, two hundred fifty-three million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 251 276 345 414 460 502 690 753 828 1004 1035 1255 1380 1506 2070 2259 2510 3012 3765 4093 4140 4518 5020 5773 7530 8186 9036 11295 11546 12279 15060 16372 17319 20465 22590 23092 24558 28865 34638 36837 40930 45180 49116 51957 57730 61395 69276 73674 81860 86595 94139 103914 115460 122790 147348 173190 184185 188278 207828 245580 259785 282417 346380 368370 376556 470695 519570 564834 736740 847251 941390 1027343 1039140 1129668 1412085 1694502 1882780 2054686 2824170 3082029 3389004 4109372 4236255 5136715 5648340 6164058 8472510 9246087 10273430 12328116 15410145 16945020 18492174 20546860 23628889 30820290 36984348 46230435 47257778 61640580 70886667 92460870 94515556 118144445 141773334 184921740 212660001 236288890 283546668 354433335 425320002 472577780 708866670 850640004 1063300005 1417733340 2126600010 4253200020