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3741121120 = 255112392419
BaseRepresentation
bin1101111011111100…
…1111101001100000
3100122201120122101111
43132333033221200
530130211333440
61415121113104
7161465001442
oct33677175140
910581518344
103741121120
11164a846740
12884a88794
134780c0849
14276c06492
1516d68a4ea
hexdefcfa60

3741121120 has 96 divisors (see below), whose sum is σ = 10061210880. Its totient is φ = 1301245440.

The previous prime is 3741121091. The next prime is 3741121151. The reversal of 3741121120 is 211211473.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3741121091 and 3741121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5730 + ... + 86689.

It is an arithmetic number, because the mean of its divisors is an integer number (104804280).

Almost surely, 23741121120 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 3741121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030605440).

3741121120 is an abundant number, since it is smaller than the sum of its proper divisors (6320089760).

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

3741121120 is a wasteful number, since it uses less digits than its factorization.

3741121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92468 (or 92460 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 3741121120 is about 61164.7048550060. The cubic root of 3741121120 is about 1552.3891175455.

Adding to 3741121120 its reverse (211211473), we get a palindrome (3952332593).

The spelling of 3741121120 in words is "three billion, seven hundred forty-one million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 20240 40480 92419 184838 369676 462095 739352 924190 1016609 1478704 1848380 2033218 2125637 2957408 3696760 4066436 4251274 5083045 7393520 8132872 8502548 10166090 10628185 14787040 16265744 17005096 20332180 21256370 23382007 32531488 34010192 40664360 42512740 46764014 68020384 81328720 85025480 93528028 116910035 162657440 170050960 187056056 233820070 340101920 374112112 467640140 748224224 935280280 1870560560 3741121120