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148906880 = 2752971113
BaseRepresentation
bin10001110000000…
…10001110000000
3101101012020211122
420320002032000
5301110010010
622435331412
73455454563
oct1070021600
9341166748
10148906880
1177065a41
1241a50b68
1324b084a5
1415ac24da
15d115855
hex8e02380

148906880 has 128 divisors (see below), whose sum is σ = 376747200. Its totient is φ = 56197120.

The previous prime is 148906867. The next prime is 148906883. The reversal of 148906880 is 88609841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1489068802 = 44346517822668800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148906883) 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, 1317704 + ... + 1317816.

Almost surely, 2148906880 is an apocalyptic number.

148906880 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 148906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188373600).

148906880 is an abundant number, since it is smaller than the sum of its proper divisors (227840320).

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

148906880 is a wasteful number, since it uses less digits than its factorization.

148906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 44.

The square root of 148906880 is about 12202.7406757662. The cubic root of 148906880 is about 530.0354550863.

The spelling of 148906880 in words is "one hundred forty-eight million, nine hundred six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 71 80 113 116 128 142 145 160 226 232 284 290 320 355 452 464 565 568 580 640 710 904 928 1130 1136 1160 1420 1808 1856 2059 2260 2272 2320 2840 3277 3616 3712 4118 4520 4544 4640 5680 6554 7232 8023 8236 9040 9088 9280 10295 11360 13108 14464 16046 16385 16472 18080 18560 20590 22720 26216 32092 32770 32944 36160 40115 41180 45440 52432 64184 65540 65888 72320 80230 82360 104864 128368 131080 131776 160460 164720 209728 232667 256736 262160 263552 320920 329440 419456 465334 513472 524320 641840 658880 930668 1026944 1048640 1163335 1283680 1317760 1861336 2097280 2326670 2567360 3722672 4653340 5134720 7445344 9306680 14890688 18613360 29781376 37226720 74453440 148906880