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148906640 = 2453197619
BaseRepresentation
bin10001110000000…
…10001010010000
3101101012020111202
420320002022100
5301110003030
622435330332
73455454101
oct1070021220
9341166452
10148906640
1177065843
1241a509a8
1324b0834c
1415ac23a8
15d115745
hex8e02290

148906640 has 80 divisors (see below), whose sum is σ = 361643520. Its totient is φ = 56954880.

The previous prime is 148906633. The next prime is 148906643. The reversal of 148906640 is 46609841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 148906594 and 148906603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148906643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240251 + ... + 240869.

It is an arithmetic number, because the mean of its divisors is an integer number (4520544).

Almost surely, 2148906640 is an apocalyptic number.

148906640 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 148906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180821760).

148906640 is an abundant number, since it is smaller than the sum of its proper divisors (212736880).

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

148906640 is a wasteful number, since it uses less digits than its factorization.

148906640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 148906640 is about 12202.7308419058. The cubic root of 148906640 is about 530.0351703254.

The spelling of 148906640 in words is "one hundred forty-eight million, nine hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 97 124 155 194 248 310 388 485 496 619 620 776 970 1238 1240 1552 1940 2476 2480 3007 3095 3880 4952 6014 6190 7760 9904 12028 12380 15035 19189 24056 24760 30070 38378 48112 49520 60043 60140 76756 95945 120086 120280 153512 191890 240172 240560 300215 307024 383780 480344 600430 767560 960688 1200860 1535120 1861333 2401720 3722666 4803440 7445332 9306665 14890664 18613330 29781328 37226660 74453320 148906640