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6740001480 = 2335194172101
BaseRepresentation
bin1100100011011110…
…00100001011001000
3122101201111112212110
412101233010023020
5102300420021410
63032445342320
7326011032042
oct62157041310
918351445773
106740001480
112949611963
1213812679a0
138354a2574
1447d1daa92
15296aac720
hex191bc42c8

6740001480 has 128 divisors (see below), whose sum is σ = 21803644800. Its totient is φ = 1661184000.

The previous prime is 6740001449. The next prime is 6740001487. The reversal of 6740001480 is 841000476.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6740001487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57430 + ... + 129530.

It is an arithmetic number, because the mean of its divisors is an integer number (170340975).

Almost surely, 26740001480 is an apocalyptic number.

6740001480 is a gapful number since it is divisible by the number (60) 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 6740001480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901822400).

6740001480 is an abundant number, since it is smaller than the sum of its proper divisors (15063643320).

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

6740001480 is a wasteful number, since it uses less digits than its factorization.

6740001480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72175 (or 72171 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 6740001480 is about 82097.5120207671. The cubic root of 6740001480 is about 1888.9479769956.

The spelling of 6740001480 in words is "six billion, seven hundred forty million, one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 41 57 60 76 82 95 114 120 123 152 164 190 205 228 246 285 328 380 410 456 492 570 615 760 779 820 984 1140 1230 1558 1640 2280 2337 2460 3116 3895 4674 4920 6232 7790 9348 11685 15580 18696 23370 31160 46740 72101 93480 144202 216303 288404 360505 432606 576808 721010 865212 1081515 1369919 1442020 1730424 2163030 2739838 2884040 2956141 4109757 4326060 5479676 5912282 6849595 8219514 8652120 8868423 10959352 11824564 13699190 14780705 16439028 17736846 20548785 23649128 27398380 29561410 32878056 35473692 41097570 44342115 54796760 56166679 59122820 70947384 82195140 88684230 112333358 118245640 164390280 168500037 177368460 224666716 280833395 337000074 354736920 449333432 561666790 674000148 842500185 1123333580 1348000296 1685000370 2246667160 3370000740 6740001480