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10154262040 = 2351331738629
BaseRepresentation
bin10010111010011110…
…11011111000011000
3222012200000221212021
421131033123320120
5131243442341130
64355333024224
7506426542336
oct113517337030
928180027767
1010154262040
1143408a83aa
121b74785074
13c5a94c2a0
146c483ab56
153e66d037a
hex25d3dbe18

10154262040 has 128 divisors (see below), whose sum is σ = 25749158400. Its totient is φ = 3578204160.

The previous prime is 10154262031. The next prime is 10154262109. The reversal of 10154262040 is 4026245101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10154261996 and 10154262014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172446 + ... + 1181074.

It is an arithmetic number, because the mean of its divisors is an integer number (201165300).

Almost surely, 210154262040 is an apocalyptic number.

10154262040 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 10154262040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12874579200).

10154262040 is an abundant number, since it is smaller than the sum of its proper divisors (15594896360).

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

10154262040 is a wasteful number, since it uses less digits than its factorization.

10154262040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757 (or 8753 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 10154262040 in words is "ten billion, one hundred fifty-four million, two hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 73 104 124 130 146 155 248 260 292 310 365 403 520 584 620 730 806 949 1240 1460 1612 1898 2015 2263 2920 3224 3796 4030 4526 4745 7592 8060 8629 9052 9490 11315 16120 17258 18104 18980 22630 29419 34516 37960 43145 45260 58838 69032 86290 90520 112177 117676 147095 172580 224354 235352 267499 294190 345160 448708 534998 560885 588380 629917 897416 1069996 1121770 1176760 1259834 1337495 2139992 2243540 2519668 2674990 3149585 3477487 4487080 5039336 5349980 6299170 6954974 8188921 10699960 12598340 13909948 16377842 17387435 19527427 25196680 27819896 32755684 34774870 39054854 40944605 65511368 69549740 78109708 81889210 97637135 139099480 156219416 163778420 195274270 253856551 327556840 390548540 507713102 781097080 1015426204 1269282755 2030852408 2538565510 5077131020 10154262040