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148413120 = 2635314987
BaseRepresentation
bin10001101100010…
…01101011000000
3101100021011112020
420312021223000
5300443204440
622421001440
73451330212
oct1066115300
9340234466
10148413120
1176858a79
1241853280
132499481b
14159d45b2
15d0693d0
hex8d89ac0

148413120 has 112 divisors (see below), whose sum is σ = 486509568. Its totient is φ = 38292480.

The previous prime is 148413119. The next prime is 148413121. The reversal of 148413120 is 21314841.

It is an interprime number because it is at equal distance from previous prime (148413119) and next prime (148413121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (148413121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27267 + ... + 32253.

Almost surely, 2148413120 is an apocalyptic number.

148413120 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 148413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243254784).

148413120 is an abundant number, since it is smaller than the sum of its proper divisors (338096448).

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

148413120 is a wasteful number, since it uses less digits than its factorization.

148413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 148413120 is about 12182.4923558359. The cubic root of 148413120 is about 529.4489585488.

Adding to 148413120 its reverse (21314841), we get a palindrome (169727961).

The spelling of 148413120 in words is "one hundred forty-eight million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 465 480 496 620 744 930 960 992 1240 1488 1860 1984 2480 2976 3720 4960 4987 5952 7440 9920 9974 14880 14961 19948 24935 29760 29922 39896 49870 59844 74805 79792 99740 119688 149610 154597 159584 199480 239376 299220 309194 319168 398960 463791 478752 598440 618388 772985 797920 927582 957504 1196880 1236776 1545970 1595840 1855164 2318955 2393760 2473552 3091940 3710328 4637910 4787520 4947104 6183880 7420656 9275820 9894208 12367760 14841312 18551640 24735520 29682624 37103280 49471040 74206560 148413120