Search a number
-
+
1378054160 = 245731163487
BaseRepresentation
bin101001000100011…
…0111000000010000
310120001001101220222
41102020313000100
510310240213120
6344424252212
746102160420
oct12210670020
93501041828
101378054160
1164796a53a
12325611068
1318c666782
14d103c480
1580eac525
hex52237010

1378054160 has 160 divisors (see below), whose sum is σ = 3810803712. Its totient is φ = 453496320.

The previous prime is 1378054141. The next prime is 1378054207. The reversal of 1378054160 is 614508731.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1378054160.

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, 2829437 + ... + 2829923.

Almost surely, 21378054160 is an apocalyptic number.

1378054160 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 1378054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905401856).

1378054160 is an abundant number, since it is smaller than the sum of its proper divisors (2432749552).

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

1378054160 is a wasteful number, since it uses less digits than its factorization.

1378054160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 1378054160 is about 37122.1518772821. The cubic root of 1378054160 is about 1112.8127565728.

The spelling of 1378054160 in words is "one billion, three hundred seventy-eight million, fifty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 163 217 248 280 310 326 434 487 496 560 620 652 815 868 974 1085 1141 1240 1304 1630 1736 1948 2170 2282 2435 2480 2608 3260 3409 3472 3896 4340 4564 4870 5053 5705 6520 6818 7792 8680 9128 9740 10106 11410 13040 13636 15097 17045 17360 18256 19480 20212 22820 25265 27272 30194 34090 35371 38960 40424 45640 50530 54544 60388 68180 70742 75485 79381 80848 91280 101060 105679 120776 136360 141484 150970 158762 176855 202120 211358 241552 272720 282968 301940 317524 353710 396905 404240 422716 528395 555667 565936 603880 635048 707420 793810 845432 1056790 1111334 1207760 1270096 1414840 1587620 1690864 2113580 2222668 2460811 2778335 2829680 3175240 4227160 4445336 4921622 5556670 6350480 8454320 8890672 9843244 11113340 12304055 17225677 19686488 22226680 24608110 34451354 39372976 44453360 49216220 68902708 86128385 98432440 137805416 172256770 196864880 275610832 344513540 689027080 1378054160