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1374257040 = 2435131512917
BaseRepresentation
bin101000111101001…
…0111111110010000
310112202220111020220
41101322113332100
510303302211130
6344211033040
746024664202
oct12172277620
93482814226
101374257040
11645806722
1232429b780
1318b937360
14d0730772
15809ac410
hex51e97f90

1374257040 has 160 divisors (see below), whose sum is σ = 4619870976. Its totient is φ = 335923200.

The previous prime is 1374257009. The next prime is 1374257041. The reversal of 1374257040 is 407524731.

It is a junction number, because it is equal to n+sod(n) for n = 1374256992 and 1374257010.

It is not an unprimeable number, because it can be changed into a prime (1374257041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 469662 + ... + 472578.

Almost surely, 21374257040 is an apocalyptic number.

1374257040 is a gapful number since it is divisible by the number (10) 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 1374257040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309935488).

1374257040 is an abundant number, since it is smaller than the sum of its proper divisors (3245613936).

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

1374257040 is a wasteful number, since it uses less digits than its factorization.

1374257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 1374257040 is about 37070.9730112389. The cubic root of 1374257040 is about 1111.7897269888.

The spelling of 1374257040 in words is "one billion, three hundred seventy-four million, two hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 151 156 195 208 240 260 302 312 390 453 520 604 624 755 780 906 1040 1208 1510 1560 1812 1963 2265 2416 2917 3020 3120 3624 3926 4530 5834 5889 6040 7248 7852 8751 9060 9815 11668 11778 12080 14585 15704 17502 18120 19630 23336 23556 29170 29445 31408 35004 36240 37921 39260 43755 46672 47112 58340 58890 70008 75842 78520 87510 94224 113763 116680 117780 140016 151684 157040 175020 189605 227526 233360 235560 303368 350040 379210 440467 455052 471120 568815 606736 700080 758420 880934 910104 1137630 1321401 1516840 1761868 1820208 2202335 2275260 2642802 3033680 3523736 4404670 4550520 5285604 5726071 6607005 7047472 8809340 9101040 10571208 11452142 13214010 17178213 17618680 21142416 22904284 26428020 28630355 34356426 35237360 45808568 52856040 57260710 68712852 85891065 91617136 105712080 114521420 137425704 171782130 229042840 274851408 343564260 458085680 687128520 1374257040