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122534040 = 233519223241
BaseRepresentation
bin1110100110110…
…11100010011000
322112120101002210
413103123202120
5222332042130
620054155120
73015344046
oct723334230
9275511083
10122534040
1163192702
1235052aa0
131c503465
14123b9396
15ab565b0
hex74db898

122534040 has 128 divisors (see below), whose sum is σ = 390297600. Its totient is φ = 30689280.

The previous prime is 122534023. The next prime is 122534057. The reversal of 122534040 is 40435221.

It is an interprime number because it is at equal distance from previous prime (122534023) and next prime (122534057).

It is a junction number, because it is equal to n+sod(n) for n = 122533998 and 122534016.

It is a congruent number.

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, 508320 + ... + 508560.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2122534040 is an apocalyptic number.

122534040 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 122534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195148800).

122534040 is an abundant number, since it is smaller than the sum of its proper divisors (267763560).

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

122534040 is a wasteful number, since it uses less digits than its factorization.

122534040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 122534040 is about 11069.5094742269. The cubic root of 122534040 is about 496.6901920201.

Adding to 122534040 its reverse (40435221), we get a palindrome (162969261).

The spelling of 122534040 in words is "one hundred twenty-two million, five hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 223 228 241 285 380 446 456 482 570 669 723 760 892 964 1115 1140 1205 1338 1446 1784 1928 2230 2280 2410 2676 2892 3345 3615 4237 4460 4579 4820 5352 5784 6690 7230 8474 8920 9158 9640 12711 13380 13737 14460 16948 18316 21185 22895 25422 26760 27474 28920 33896 36632 42370 45790 50844 53743 54948 63555 68685 84740 91580 101688 107486 109896 127110 137370 161229 169480 183160 214972 254220 268715 274740 322458 429944 508440 537430 549480 644916 806145 1021117 1074860 1289832 1612290 2042234 2149720 3063351 3224580 4084468 5105585 6126702 6449160 8168936 10211170 12253404 15316755 20422340 24506808 30633510 40844680 61267020 122534040