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5410501040 = 245741713319
BaseRepresentation
bin1010000100111110…
…11011000110110000
3111222001210221010102
411002133123012300
542040042013130
62252513451532
7251035333340
oct50237330660
914861727112
105410501040
1123270a556a
12106bb70ba8
13682c08b09
143947dad20
15219ee1645
hex1427db1b0

5410501040 has 160 divisors (see below), whose sum is σ = 14939043840. Its totient is φ = 1783756800.

The previous prime is 5410501037. The next prime is 5410501043. The reversal of 5410501040 is 401050145.

It is an interprime number because it is at equal distance from previous prime (5410501037) and next prime (5410501043).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5410501043) 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, 1628501 + ... + 1631819.

It is an arithmetic number, because the mean of its divisors is an integer number (93369024).

Almost surely, 25410501040 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 5410501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469521920).

5410501040 is an abundant number, since it is smaller than the sum of its proper divisors (9528542800).

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

5410501040 is a wasteful number, since it uses less digits than its factorization.

5410501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5410501040 is about 73556.1081080287. The cubic root of 5410501040 is about 1755.5471371943.

Adding to 5410501040 its reverse (401050145), we get a palindrome (5811551185).

The spelling of 5410501040 in words is "five billion, four hundred ten million, five hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 71 80 82 112 140 142 164 205 280 284 287 328 355 410 497 560 568 574 656 710 820 994 1136 1148 1420 1435 1640 1988 2296 2485 2840 2870 2911 3280 3319 3976 4592 4970 5680 5740 5822 6638 7952 9940 11480 11644 13276 14555 16595 19880 20377 22960 23233 23288 26552 29110 33190 39760 40754 46466 46576 53104 58220 66380 81508 92932 101885 116165 116440 132760 136079 163016 185864 203770 232330 232880 235649 265520 272158 326032 371728 407540 464660 471298 544316 680395 815080 929320 942596 952553 1088632 1178245 1360790 1630160 1649543 1858640 1885192 1905106 2177264 2356490 2721580 3299086 3770384 3810212 4712980 4762765 5443160 6598172 7620424 8247715 9425960 9525530 9661609 10886320 13196344 15240848 16495430 18851920 19051060 19323218 26392688 32990860 38102120 38646436 48308045 65981720 67631263 76204240 77292872 96616090 131963440 135262526 154585744 193232180 270525052 338156315 386464360 541050104 676312630 772928720 1082100208 1352625260 2705250520 5410501040