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1097738148 = 2231321931919
BaseRepresentation
bin100000101101110…
…0010011110100100
32211111120212122110
41001123202132210
54222010110043
6300532201020
736126422523
oct10133423644
92744525573
101097738148
1151370aa11
12267769170
1314656b300
14a5b104ba
156658ab33
hex416e27a4

1097738148 has 144 divisors (see below), whose sum is σ = 3017011200. Its totient is φ = 309329280.

The previous prime is 1097738137. The next prime is 1097738149. The reversal of 1097738148 is 8418377901.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1097738097 and 1097738106.

It is not an unprimeable number, because it can be changed into a prime (1097738149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194033 + ... + 1194951.

Almost surely, 21097738148 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 1097738148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508505600).

1097738148 is an abundant number, since it is smaller than the sum of its proper divisors (1919273052).

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

1097738148 is a wasteful number, since it uses less digits than its factorization.

1097738148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The square root of 1097738148 is about 33132.1316549358. The cubic root of 1097738148 is about 1031.5720951493.

The spelling of 1097738148 in words is "one billion, ninety-seven million, seven hundred thirty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 169 186 228 247 338 372 403 494 507 589 676 741 806 919 988 1014 1178 1209 1482 1612 1767 1838 2028 2356 2418 2757 2964 3211 3534 3676 4836 5239 5514 6422 7068 7657 9633 10478 11028 11947 12844 15314 15717 17461 19266 20956 22971 23894 28489 30628 31434 34922 35841 38532 45942 47788 52383 56978 62868 69844 71682 85467 91884 99541 104766 113956 143364 155311 170934 199082 209532 226993 298623 310622 341868 370357 398164 453986 465933 541291 597246 621244 680979 740714 907972 931866 1082582 1111071 1194492 1361958 1481428 1623873 1863732 2165164 2222142 2723916 2950909 3247746 4444284 4814641 5901818 6495492 7036783 8852727 9629282 11803636 14073566 14443923 17705454 19258564 21110349 28147132 28887846 35410908 42220698 57775692 84441396 91478179 182956358 274434537 365912716 548869074 1097738148